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Recent questions tagged limits
0
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1
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1
Maths: Limits
$\LARGE \lim_{n \rightarrow \infty} \frac{n^{\frac{3}{4}}}{log^9 n}$
asked
May 26
in
Calculus
by
Mk Utkarsh
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(
34.5k
points)

90
views
engineeringmathematics
calculus
limits
0
votes
1
answer
2
ISI2018MMA19
Let $X_1,X_2, . . . ,X_n$ be independent and identically distributed with $P(X_i = 1) = P(X_i = −1) = p\ $and$ P(X_i = 0) = 1 − 2p$ for all $i = 1, 2, . . . , n.$ ... $a_n \rightarrow p, b_n \rightarrow p,c_n \rightarrow 12p$ $a_n \rightarrow1/2, b_n \rightarrow1/2,c_n \rightarrow0$ $a_n \rightarrow0, b_n \rightarrow0,c_n \rightarrow1$
asked
May 11
in
Calculus
by
akash.dinkar12
Boss
(
40.4k
points)

25
views
isi2018
engineeringmathematics
calculus
limits
+1
vote
1
answer
3
ISI2019MMA24
Let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a continuous function such that $\lim _{n\rightarrow \infty} f''(x)$ exists for every $x \in \mathbb{R}$, where $f''(x) = f \circ f^{n1}(x)$ for $n \geq 2$ ... $S \subset T$ $T \subset S$ $S = T$ None of the above
asked
May 7
in
Calculus
by
Sayan Bose
Loyal
(
6.9k
points)

224
views
isi2019
engineeringmathematics
calculus
limits
0
votes
1
answer
4
ISI2019MMA5
If $f(a)=2, \: f’(a) = 1, \: g(a) =1$ and $g’(a) =2$, then the value of $\lim _{x\rightarrow a}\frac{g(x) f(a) – f(x) g(a)}{xa}$ is $5$ $3$ $3$ $5$
asked
May 6
in
Calculus
by
Sayan Bose
Loyal
(
6.9k
points)

149
views
isi2019
calculus
limits
0
votes
1
answer
5
ISI MMA2015
Let, $a_{n} \;=\; \left ( 1\frac{1}{\sqrt{2}} \right ) ... \left ( 1 \frac{1}{\sqrt{n+1}} \right )$ , $n \geq 1$. Then $\lim_{n\rightarrow \infty } a_{n}$ (A) equals $1$ (B) does not exist (C) equals $\frac{1}{\sqrt{\pi }}$ (D) equals $0$
asked
Feb 21
in
Calculus
by
ankitgupta.1729
Boss
(
13.2k
points)

131
views
engineeringmathematics
calculus
userisi2015
usermod
sequenceseries
limits
+2
votes
6
answers
6
GATE201913
Compute $\lim_{x \rightarrow 3} \frac{x^481}{2x^25x3}$ $1$ $53/12$ $108/7$ Limit does not exist
asked
Feb 7
in
Calculus
by
Arjun
Veteran
(
406k
points)

1.6k
views
gate2019
engineeringmathematics
calculus
limits
+2
votes
3
answers
7
TIFR2019A15
Consider the matrix $A = \begin{bmatrix} \frac{1}{2} &\frac{1}{2} & 0\\ 0& \frac{3}{4} & \frac{1}{4}\\ 0& \frac{1}{4} & \frac{3}{4} \end{bmatrix}$ What is $\lim_{n→\infty}$A^n$ ? $\begin{bmatrix} \ 0 & 0 & 0\\ 0& 0 ... {2} & \frac{1}{2}\\ 0 & \frac{1}{2} & \frac{1}{2}\end{bmatrix}$ \text{The limit exists, but it is none of the above}$
asked
Dec 18, 2018
in
Calculus
by
Arjun
Veteran
(
406k
points)

277
views
tifr2019
engineeringmathematics
calculus
limits
+2
votes
1
answer
8
Got from friend
Find the limit of the given expression $\lim_{x\to\frac{\pi}{2}}\left ( \sec x\frac{1}{1\sin x} \right )$
asked
Nov 13, 2018
in
Calculus
by
JeetRabari
(
75
points)

191
views
engineeringmathematics
calculus
limits
0
votes
1
answer
9
limits
Find the limit $\operatorname { lit } _ { x \rightarrow 1 } \left\{ \left( \frac { 1 + x } { 2 + x } \right) ^ { \left( \frac { 1  \sqrt { x } } { 1  x } \right) } \right\}$
asked
Oct 14, 2018
in
Calculus
by
MIRIYALA JEEVAN KUMA
Active
(
2.3k
points)

112
views
limits
calculus
engineeringmathematics
0
votes
0
answers
10
calculus
what is difference between this and in questions if asked to find derivative or check differentiable or not, which formula should i use? 1) $lim_{h\rightarrow 0} \frac{f(a+h)f(a)}{h}$ 2) $lim_{x\rightarrow a} \frac{f(x)f(a)}{xa}$
asked
Sep 16, 2018
in
Calculus
by
Rahul_Rathod_
(
415
points)

44
views
limits
calculus
0
votes
0
answers
11
ISI2017MMA14
Let $(v_n)$ be a sequence defined by $v_1=1$ and $v_{n+1}=\sqrt{v_n^2 +(\frac{1}{5})^n}$ for $n\geq1$. Then $\lim _{n\rightarrow \infty} v_n$ is $\sqrt{5/3}$ $\sqrt{5/4}$ $1$ nonexistent
asked
Sep 15, 2018
in
Calculus
by
jothee
Veteran
(
96.1k
points)

6
views
isi2017
engineeringmathematics
calculus
limits
0
votes
0
answers
12
ISI2017MMA16
Let $(x_n)$ be a sequence of real numbers such that the subsequences $(x_{2n})$ and $(x_{3n})$ converge to limits $K$ and $L$ respectively. Then $(x_n)$ always converges if $K=L$, then $(x_n)$ converges $(x_n)$ may not converge, but $K=L$ it is possible to have $K \neq L$
asked
Sep 15, 2018
in
Calculus
by
jothee
Veteran
(
96.1k
points)

8
views
isi2017
engineeringmathematics
calculus
limits
+1
vote
1
answer
13
Limit
Puzzle $\lim_{y\rightarrow \alpha }\left (y\left ( y^{2}+y \right )^{\frac{1}{2}}\right )$
asked
May 30, 2018
in
Calculus
by
srestha
Veteran
(
111k
points)

149
views
limits
calculus
engineeringmathematics
0
votes
0
answers
14
Limits
$\displaystyle\lim_{x \to 0} \left[ \dfrac{log(1+x)}{x} \right] ^{\dfrac{1}{x}} $
asked
May 29, 2018
in
Mathematical Logic
by
Nymeria
(
341
points)

81
views
engineeringmathematics
calculus
limits
+2
votes
2
answers
15
Limit
Is answer will be 1 or 5? $\lim_{x\rightarrow \alpha }\left ( \frac{x+6}{x+1} \right )^{x+4}$
asked
May 26, 2018
in
Calculus
by
srestha
Veteran
(
111k
points)

163
views
limits
calculus
engineeringmathematics
0
votes
1
answer
16
ISI201605
Let $f(x,y) = \begin{cases} \dfrac{x^2y}{x^4+y^2}, & \text{ if (x,y) }\neq\text{(0,0) }\\ 0 & \text{ if (x,y) = (0,0)}\end{cases}$ Then $\displaystyle{\lim_{(x,y)\rightarrow(0,0)}}f (x,y)$ $\text{equals 0}$ $\text{equals 1}$ $\text{equals 2}$ $\text{does not exist}$
asked
Mar 31, 2018
in
Mathematical Logic
by
jjayantamahata
Active
(
1.3k
points)

96
views
isi2016
engineeringmathematics
limits
+2
votes
2
answers
17
ISI2017MMA14
Let $(v_n)$ be a sequence defined by $v_1 = 1$ and $v_{n+1} = \sqrt{v_n^2 +\left(\dfrac{1}{5}\right)^n}$ for $n\geq1$. Then $\displaystyle{\lim_{n \rightarrow \infty}v_n}$ is $\sqrt{5/3}$ $\sqrt{5/4}$ $1$ $\text{non existent}$
asked
Mar 27, 2018
in
Calculus
by
jjayantamahata
Active
(
1.3k
points)

226
views
isi2017
engineeringmathematics
calculus
limits
+1
vote
1
answer
18
ISI2014
Consider the function for all $x \in (0,1),$ $\begin{equation}f(x) =\begin{cases}x &\text{if x is rational}\\1x & \text{otherwise.}\end{cases} \end{equation}$ Then, the function $f$ is everywhere continuous on $(0,1)$ continuous only on rational points in $(0,1)$ nowhere continuous on $(0,1)$ continuous only at a single point in $(0,1)$
asked
Mar 15, 2018
in
Mathematical Logic
by
jjayantamahata
Active
(
1.3k
points)

112
views
limits
calculus
+1
vote
1
answer
19
Mathematics GATE 2018 CH: 33
If $y = e^{x^2}$ then the value of $\displaystyle\lim_{x \to \infty} \dfrac{1}{x}\dfrac{\mathrm{d}y}{\mathrm{d}x}$ is _________ .
asked
Feb 20, 2018
in
Calculus
by
Lakshman Patel RJIT
Boss
(
39.6k
points)

285
views
gate2018ch
engineeringmathematics
calculus
limits
+1
vote
0
answers
20
Limits
Is there any other way instead of using general formula for sum of "to the 4" of first n natural numbers
asked
Feb 2, 2018
in
Numerical Ability
by
Nishtha3121996
(
193
points)

135
views
limits
+2
votes
1
answer
21
Calculus Limit
Find the value of Here I got till $lim_{x \rightarrow \infty} \frac{4^2 + \frac{3^x}{4^x}}{4^{2}}$. But how to proceed further?
asked
Jan 30, 2018
in
Calculus
by
Shubhanshu
Boss
(
17.9k
points)

188
views
limits
calculus
engineeringmathematics
+3
votes
1
answer
22
MadeEasy Test Series 2018: Calculus  Limits
The value of $\lim_{x\rightarrow \infty }\left ( \frac{4^{x+2} + 3^{x}}{4^{x2}} \right )$ is ____________
asked
Jan 26, 2018
in
Calculus
by
sumit chakraborty
Active
(
1.1k
points)

134
views
engineeringmathematics
calculus
limits
madeeasytestseries
+2
votes
1
answer
23
Limits
Find the value of above limit. How to approach with this type of infinity power infinity problems ?? im thinking like first we should convert this to 1 power infinity problem and then solve?? is it correct ?? please solve above que
asked
Jan 25, 2018
in
Mathematical Logic
by
Anjan
Active
(
1.4k
points)

83
views
calculus
limits
engineeringmathematics
+3
votes
1
answer
24
Limits
asked
Jan 22, 2018
in
Calculus
by
vishal chugh
Active
(
1.7k
points)

91
views
limits
engineeringmathematics
calculus
+3
votes
1
answer
25
Calculus (LIMITS)
Answer is 1. I also know the procedure. My question is why isn't this formula working? Am I doing something wrong?
asked
Jan 21, 2018
in
Calculus
by
Nymeria
(
341
points)

132
views
engineeringmathematics
calculus
limits
+3
votes
0
answers
26
Limits
What is the value of ?
asked
Jan 15, 2018
in
Calculus
by
Shubhanshu
Boss
(
17.9k
points)

124
views
calculus
limits
engineeringmathematics
+2
votes
0
answers
27
Continuity and Differentiability of root mod function
1) Consider f(x) = $x^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both. 2) Consider f(x) = $x1^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both. 3) Find the value of $f(x) = \int_{2}^{2}1x^4dx$. I am getting 8/5, but answer is 12.
asked
Dec 31, 2017
in
Calculus
by
Shubhanshu
Boss
(
17.9k
points)

276
views
limits
continuity
function
calculus
+3
votes
1
answer
28
Limit and Continuity
Evaluate the given limit : $lim_{x\rightarrow0} \ {\Large \frac{(1+x)^{\frac{1}{x}}e}{x}}$ options : $ \\ a) \frac{e}{8} \\ b) \frac{e}{2} \\ c) \frac{e}{4} \\ d) 1$
asked
Dec 31, 2017
in
Calculus
by
saxena0612
Boss
(
11.7k
points)

203
views
engineeringmathematics
calculus
limits
0
votes
1
answer
29
MadeEasy Test Series: Calculus  Limits
How it solve this ?
asked
Dec 26, 2017
in
Calculus
by
Kalpataru Bose
(
349
points)

173
views
madeeasytestseries
calculus
limits
engineeringmathematics
+3
votes
0
answers
30
limit question find answer
$\lim_{x\rightarrow\infty}(\sqrt{x}x)=?$
asked
Dec 25, 2017
in
Calculus
by
Lakshman Patel RJIT
Boss
(
39.6k
points)

433
views
calculus
limits
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