Problem 25

Given information

Since the given series is an alternating series , so here we use "Alternating Series Estimation Theorem " which states that " The error in approximation of    is by first n terms is at most      .

Here in the series even degree terms are missing and series is written up to 5th term .So here we  take n = 6 .

Step-by-step explanation

Now, by "Alternating Series Estimation Theorem ", " The error in approximation of      is by first 6 terms is at most      .

The error ill be less than  if ,

Hence the required range of   is   for which given information is accurate within stated error .