MTH621 Assignment 2 Solution and Discussion

Assignment 2 MTH621: Real Analysis 1
Lectures: 28 TO 32
Due Date: 26012020
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)=(9x^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.

Q. 1 Solution:
Q.2 Solution:
Q.3 Solution: