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 =1
No