For parts and use What is the truncation error when approximating by the first two terms of its McLaurin series Answer part for 2. There are problems evaluating under some conditions. Give...

For parts

and

use

What is the truncation error when approximating

by the first two terms of its McLaurin series

Answer part

for

2. There are problems evaluating

under some conditions. Give an example. Propose a means of accurately computing

3. Using

verify the bound

for

and

4. Find eps

for

for
.

5. Using floating point arithmetic, is it true that

implies that

Justify your answer.

6. For parts

and

propose a method of computing each expression for small

For part
propose a method for computing the expression for large