Question

Dena

想請問這題🙏

57. The series
2x5
17x7 62x⁹
+
+
3 15 315 2835
converges to tan x for -π/2 < x < π/2.
a. Find the first five terms of the series for In | sec x|. For what
values of x should the series converge?
tan x = x + +
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 58.

微積分 收斂數列

Answer 1

Alstormeria5

As below