Verifying that a Series Converges In Exercises 2326, verify that the series converges to
Chapter 16, Problem 25(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.)
\(\sum_{n=0}^{\infty} \frac{(-1)^{n} x^{2 n+1}}{2 n+1}=\arctan x,(-1,1)\)
Differential equation: \(\left(x^{2}+1\right) y^{\prime \prime}+2 x y^{\prime}=0\)
Text Description:
Sum_n=0^infinity (-1)^n x^2n+1/2n+1 = arctan x, (-1, 1)
(x^2+1)y’’ + 2xy’ = 0
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