Q1 When proving that what is the maximum value of when
Using Definition 2.3.2
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.
Q4. If for some real number , prove that
Q5. Using Intermediate value theorem show that the equation has a solution between 1 and 2?
Since f(1)=- while f(2)=+