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.

]]>**Q.2 Solution:**

**Q.3 Solution:**