MTH621 Assignment 2 Solution and Discussion

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Assignment 2 MTH621: Real Analysis 1

Lectures: 28 TO 32
Due Date: 26-01-2020
Instructions:
• Attempt all questions.
• Submit assignment within time, no assignment will be accepted through email.

Question 1 For the functions f(x)=√x,"  " g(x)=(9-x^2)/(x+1). Check the continuity of f°g.

Question 2 Let f be a real uniformly continuous function on the bounded set E in R. Prove that f is bounded on E.

Question 3 Is continuity implies differentiability? Justify your argument with an example.

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Q. 1 Solution:

Q.2 Solution:

Q.3 Solution: