Solution we observe that f '(x) = -1 / (1 + x2) and find the required series by integrating the power series for -1 / (1 + x2).

Required series is:

Step-by-step explanation:

Given that

                            ---(1)

We know that:

                  ---(2)

Comparing (1) and (2)

                            ---- (3)

Using power series expansion for

as

Hence,

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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