Verifying that a Series Converges In Exercises 2326, verify that the series converges to

Chapter 16, Problem 24

(choose chapter or problem)

Verifying that a Series Converges In Exercises 23-26, verify that the series converges to the given function on the indicated interval. (Hint:Use the given differential equation.)

\(\sum_{n=0}^{\infty} \frac{(-1)^{n} x^{2 n}}{(2 n) !}=\cos x,(-\infty, \infty)\)

 

Differential equation: y’’ + y = 0

Text Description:

Sum_n=0^inifinty x^n/n! = e^x, (-infinity, infinity)

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