Register

TIFR-2013-Maths-B: 13

• edited by
281 views
0 0 votes

True/False Question :

Let $f:\left [ a,b \right ]\rightarrow \left [ c,d \right ]$ and $g:\left [ c,d \right ]\rightarrow \mathbb{R}$ be Riemann integrable functions defined on the closed intervals $\left [ a,b \right ]$ and $\left [ c,d \right ]$ respectively. Then the composite $g\circ f$ is also Riemann integrable.

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community
Answer:
← Previous · TIFR-2013-Maths-B: 1...Next → · TIFR-2013-Maths-B: 1...
← Previous in category · TIFR-2013-Maths-B: 1...Next in category → · TIFR-2013-Maths-B: 1...
Position:
Show:

Related questions

0 0 votes
0 0 answers
227
227 views
soujanyareddy13 asked Aug 30, 2020
227 views
TIFR-2013-Maths-B: 11
True/False Question :Consider the sequences $$x_{n}=\sum_{j=1}^{n}\frac{1}{j}$$$$y_{n}=\sum_{j=1}^{n}\frac{1}{j^{2}}$$Then $\left \{ x_{n} \right \}$ is Cauchy but $\left...
0 0 votes
0 0 answers
224
224 views
soujanyareddy13 asked Aug 30, 2020
224 views
TIFR-2013-Maths-B: 12
True/False Question :$\underset{x\rightarrow 0}{lim}\frac{sin\left ( x^{2} \right )}{x^{2}}sin\left ( \frac{1}{x} \right )=1$.
0 0 votes
0 0 answers
301
301 views
soujanyareddy13 asked Aug 30, 2020
301 views
TIFR-2013-Maths-B: 14
True/False Question :Let $f:\mathbb{R}\rightarrow \mathbb{R}$ be defined by $f\left ( x \right )=sin\:x ^{3}$. Then $f$ is continuous but not uniformly continuous.
0 0 votes
0 0 answers
300
300 views
soujanyareddy13 asked Aug 30, 2020
300 views
TIFR-2013-Maths-B: 15
True/False Question :Let $x_{1}\in\left ( 0,1 \right )$ be a real number between $0$ and $1$. For $n 1$, define$$x_{n+1}=x_{n}-x_{n}^{n+1}.$$Then $\underset{n\rightarrow ...