Register

TIFR-2019-Maths-A: 20

• edited by
178 views

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community
Answer:
← PreviousNext →
← Previous in categoryNext in category →

Related questions

0 votes
0 votes
0 answers
1
soujanyareddy13 asked Aug 29, 2020
124 views
TIFR-2019-Maths-B: 20
True/False Question : Let $v:\mathbb{R}\rightarrow \mathbb{R}^{2}$ be $C^{\infty }$ (i.e., has derivatives of all orders). Then there exists $t_{0}\in \left ( 0,1 \right )$ such that $v\left ( 1 \right )-v\left ( 0 \right )$ is a scalar multiple of $\frac{\mathrm{dv} }{\mathrm{dt} }\mid _{t=t_{0}}$.
True/False Question :Let $v:\mathbb{R}\rightarrow \mathbb{R}^{2}$ be $C^{\infty }$ (i.e., has derivatives of all orders). Then there exists $t_{0}\in \left ( 0,1 \right )...
User Avatar
0 votes
0 votes
0 answers
2
soujanyareddy13 asked Aug 29, 2020
174 views
TIFR-2019-Maths-A: 1
The following sum of numbers (expressed in decimal notation) $1+11+111+\cdots +\underset{n}{\underbrace{11\dots1}}$ is equal to $\left ( 10^{n+1}-10-9n \right )/81$ $\left ( 10^{n+1}-10+9n \right )/81$ $\left ( 10^{n+1}-10-n \right )/81$ $\left ( 10^{n+1}-10+n \right )/81$
The following sum of numbers (expressed in decimal notation)$$1+11+111+\cdots +\underset{n}{\underbrace{11\dots1}}$$is equal to$\left ( 10^{n+1}-10-9n \right )/81$$\left ...
User Avatar
0 votes
0 votes
0 answers
3
soujanyareddy13 asked Aug 29, 2020
170 views
TIFR-2019-Maths-A: 2
For $n\geq 1$, the sequence $\left \{ x_{n} \right \}^{\infty }_{n=1},$ where: $x_{n}=1+\frac{1}{\sqrt{2}}+\dots+\frac{1}{\sqrt{n}}-2\sqrt{n}$ is decreasing increasing constant oscillating
For $n\geq 1$, the sequence $\left \{ x_{n} \right \}^{\infty }_{n=1},$ where:$$x_{n}=1+\frac{1}{\sqrt{2}}+\dots+\frac{1}{\sqrt{n}}-2\sqrt{n}$$isdecreasingincreasingconst...
User Avatar
Link Copied!