What is the sum from n=0 to infinity of 1/((2n+1)^6) ?

The sum from n=0 to infinity of 1/((2n+1)^6) is converges

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sum from n=0 to infinity of 1/((2n+1)^6)

n = 0 \sum \infty \frac{1}{( 2 n + 1 ) ^{6}}

converges

Solution steps

n = 0 \sum \infty \frac{1}{( 2 n + 1 ) ^{6}}

Apply Series Comparison Test:

converges

= converges

y d x + (1 + x) d y = 0

\frac{\partial}{\partial x} (\frac{x ^{2} + y ^{2} - 7}{x y})

\frac{d x}{d t} + 3 t^{3} x^{5} + \frac{x}{t} = 0

x^{2} + 8 x - 2

x^{2} d y + 2 x y d x = 0

What is the sum from n=0 to infinity of 1/((2n+1)^6) ?
The sum from n=0 to infinity of 1/((2n+1)^6) is converges