What is the sum from n=1 to infinity}(((-1)^{(n-1) of))/(((2n-1)^3)) ?

The sum from n=1 to infinity}(((-1)^{(n-1) of))/(((2n-1)^3)) is converges

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sum from n=1 to infinity}(((-1)^{(n-1) of))/(((2n-1)^3))

n = 1 \sum \infty \frac{( ( - 1 ) ^{(n - 1)} )}{( ( 2 n - 1 ) ^{3} )}

converges

Solution steps

n = 1 \sum \infty \frac{( - 1 ) ^{n - 1}}{( 2 n - 1 ) ^{3}}

Apply Alternating Series Test:

converges

= converges

What is the sum from n=1 to infinity}(((-1)^{(n-1) of))/(((2n-1)^3)) ?
The sum from n=1 to infinity}(((-1)^{(n-1) of))/(((2n-1)^3)) is converges