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Syllabus: Limits, Continuity, and Differentiability, Maxima and minima, Mean value theorem, Integration.

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}&\textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 1 &1&1&1&1&1&0&1&1&1&0&0.9&1
\\\hline\textbf{2 Marks Count} & 0 &0&0&0&0&0&1&0&0&0&0&0.1&1
\\\hline\textbf{Total Marks} & 1 &1&1&1&1&1&2&1&1&1&\bf{1}&\bf{1.1}&\bf{2}\\\hline
\end{array}}}$$

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Recent questions in Calculus

1 votes
0 answers
582
TIFR-2011-Maths-A-6
The function $f_{n}(x)= n \sin (x/n)$ Does not converge for any $x$ as $n \rightarrow \infty$ Converges to the constant function $1$ as $n \rightarrow \infty$ Converges to the function $x$ as $n \rightarrow \infty$ Does not converge for all $x$ as $n \rightarrow \infty$
The function $f_{n}(x)= n \sin (x/n)$Does not converge for any $x$ as $n \rightarrow \infty$Converges to the constant function $1$ as $n \rightarrow \infty$Converges to t...
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2 votes
1 answer
583
TIFR-2011-Maths-A-5
The differential equation $\frac{dy}{dx}= y^{1/3}, y(0)=0$ has A unique solution No nontrivial solution Finite number of solutions Infinite number of solutions
The differential equation$\frac{dy}{dx}= y^{1/3}, y(0)=0$ hasA unique solutionNo nontrivial solution Finite number of solutionsInfinite number of solutions
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1 votes
2 answers
584
TIFR-2011-Maths-A-2
$\lim_{x \rightarrow 0} \sin \left(1/x^{2}\right)$ equals. $1$ $0$ $\infty$ Oscillates
$\lim_{x \rightarrow 0} \sin \left(1/x^{2}\right)$ equals.$1$$0$$\infty$Oscillates
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1 votes
1 answer
585
Which book is best for calculus?
Between Higher engineering mathematics and Gilbert Strang which one is more appropriate for GATE?
Between Higher engineering mathematics and Gilbert Strang which one is more appropriate for GATE?
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2 votes
0 answers
586
bijection, surjection please confirm the ans
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1 votes
2 answers
589
Find absolute minimum
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1 votes
2 answers
590
improper integral
http://www.questionpapers.net.in/Question%20Papers/gate-question-papers-download/gate-question-papers-download-civil-engineering-2007.pdf question 25....plz give it proper solution
http://www.questionpapers.net.in/Question%20Papers/gate-question-papers-download/gate-question-papers-download-civil-engineering-2007.pdfquestion 25....plz give it proper...
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4 votes
1 answer
591
max no of saddle point.. explain
A $n \times n$ matrix is given and an element $a_{ij}$ is called saddle point if all the element in the $i^{th}$ row are less than $a_{ij}$ and all the element in $j^{th}$ column are greater than $a_{ij}$. How many maximum no of saddle point are possible. $2$ $3$ $n$ $1$
A $n \times n$ matrix is given and an element $a_{ij}$ is called saddle point if all the element in the $i^{th}$ row are less than $a_{ij}$ and all the element in $j^{th}...
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1 votes
1 answer
592
Limit
is ans 1 ? solve plz
is ans 1 ? solve plz
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1 votes
1 answer
593
limit
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2 votes
1 answer
595
Algorithm
A polynomial p(x) is such that p(0)=5 ,p(1)=4 ,p(2)=9 and p(3)=20 The minimum degree it can have is..
A polynomial p(x) is such that p(0)=5 ,p(1)=4 ,p(2)=9 and p(3)=20 The minimum degree it can have is..
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6 votes
2 answers
597
TIFR CSE 2014 | Part A | Question: 16
Let $x_{0}=1$ and $x_{n+1}= \frac{3+2x_{n}}{3+x_{n}}, n\geq 0$. $x_{\infty}=\displaystyle \lim_{n\rightarrow \infty}x_{n}$ is $\left(\sqrt{5}-1\right) / 2$ $\left(\sqrt{5}+1\right) / 2$ $\left(\sqrt{13}-1\right) / 2$ $\left(-\sqrt{13}-1\right) / 2$ None of the above
Let $x_{0}=1$ and$x_{n+1}= \frac{3+2x_{n}}{3+x_{n}}, n\geq 0$.$x_{\infty}=\displaystyle \lim_{n\rightarrow \infty}x_{n}$ is$\left(\sqrt{5}-1\right) / 2$$\left(\sqrt{5}+1\...
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1 votes
2 answers
598
How to solve below equation ?
The value of $\frac{(1-i\sqrt 3)^{30}}{ (1+i)^{60}} \left( i = \sqrt {-1}\right)$ is ______. 1 0 -1 2
The value of $\frac{(1-i\sqrt 3)^{30}}{ (1+i)^{60}} \left( i = \sqrt {-1}\right)$ is ______.10-12
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9 votes
6 answers
600
TIFR CSE 2014 | Part A | Question: 9
Solve min $x^{2}+y^{2}$ subject to $\begin {align*} x + y &\geq 10,\\ 2x + 3y &\geq 20,\\ x &\geq 4,\\ y &\geq 4. \end{align*}$ $32$ $50$ $52$ $100$ None of the above
Solve min $x^{2}+y^{2}$ subject to$$\begin {align*} x + y &\geq 10,\\2x + 3y &\geq 20,\\x &\geq 4,\\y &\geq 4.\end{align*}$$$32$$50$$52$$100$None of the above
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