30 Dec 2021
Problem 32b
Page 627
Section 8.8: Application of Taylor Polynomials
Chapter 8: Infinite Sequences and Series
Textbook ExpertVerified Tutor
30 Dec 2021
Given information
Given that the period of a pendulum with length that makes a maximum angle with the vertical is
where and is the acceleration due to gravity.
and again the above integral can be expanded to a binomial series as
Step-by-step explanation
Step 1.
Therefore,
The equality occurs when
The coefficient of every term is less than by
Therefore,