Find the values of where the following series converge. Then, find a formula S(x) that represents the sum of the seriesfor those values ofOO18 sin" r25"0[A] The series converges for what values of r. Enter your answer using interval notation[B] Find the sum of the series for those values of= (x)S

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Asked Nov 26, 2019
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Find the values of where the following series converge. Then, find a formula S(x) that represents the sum of the series
for those values of
OO
18 sin" r
25"
0
[A] The series converges for what values of r. Enter your answer using interval notation
[B] Find the sum of the series for those values of
= (x)S
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Find the values of where the following series converge. Then, find a formula S(x) that represents the sum of the series for those values of OO 18 sin" r 25" 0 [A] The series converges for what values of r. Enter your answer using interval notation [B] Find the sum of the series for those values of = (x)S

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Expert Answer

Step 1

[A] Obtain the limit of the series as follows.

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18 sin" x The given series is 25" n-0 Apply ratio test to find the following limit 18sin"x L lim n a where a 25" 18sin" х 25- =lim n-3018 sin"x 25" sinx =lim n 25 sinx 25

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Step 2

Obtain the interval where the ser...

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The series is converegent if L < 1. sinx <l 25 sinx<25 3-25< sinx <25 xE( The interval of convergence is (,)

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Math

Calculus