**Q1 **When proving that what is the maximum value of when

*Using Definition 2.3.2 *

*or *

*Hence **=0.00599 is the maximum value .*

**Q2. **Prove using -definition ?

Using difference between two squares gives since . Thus the value of

**Q3.**Evaluate the following limits if they exist. But if they do not exist, give reasons.

a. =1/4

b. =-1

c.

d. =5

**Q4.** If for some real number , prove that

Squeezing theorem

**Q5. **Using Intermediate value theorem show that the equation has a solution between 1 and 2?

Since f(1)=- while f(2)=+

Q6.

- Find =4
- Is there a value of
*c*which makes*f(x)*continuous

Find =1

No