Theory and ExamplesThe series converges to sec x for a.
Chapter 10, Problem 58E(choose chapter or problem)
Problem 58E
Theory and Examples
The series
converges to sec x for
a. Find the first five terms of a power series for the function For what values of x should the series converge?
b. Find the first four terms of a series for sec x tan x. For what values of x should the series converge?
c. Check your result in part (b) by multiplying the series for sec x by the series given for tan x in Exercise 53.
Reference: Exercise 53
Theory and Examples
The series
converges to tan x for
a. Find the first five terms of the series for For what values of x should the series converge?
b. Find the first five terms of the series for sec2 x. For what values of x should this series converge?
c. Check your result in part (b) by squaring the series given for sec x in Exercise 54.
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