Solution Found!
Answer: Estimating infinite sums Estimate the value of the
Chapter 10, Problem 38E(choose chapter or problem)
35-38. Estimating infinite sums Estimate the value of the following convergent series with an absolute error less than \(10^{-3}\).
\(\sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{(2 k+1) !}\)
Questions & Answers
QUESTION:
35-38. Estimating infinite sums Estimate the value of the following convergent series with an absolute error less than \(10^{-3}\).
\(\sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{(2 k+1) !}\)
ANSWER:Problem 38EEstimating infinite sums Estimate the value of the following convergent series with an absolute error less than 103. Answer; Step-1; In this problem we need to Estimate the value of the convergent series with an absolute error less than . Alternating series error bound ; For a decreasing , alternating series , it is easy to get a bound on the error : || ……………(1) In other wor