sum from n=1 to infinity of 1/((2n-1)^4)

解答

n = 1 \sum \infty \frac{1}{( 2 n - 1 ) ^{4}}

收敛

求解步骤

n = 1 \sum \infty \frac{1}{( 2 n - 1 ) ^{4}}

使用级数积分审敛法:

收敛

= 收敛

\frac{d}{d x} ((e^{(x^{2})} + 4)^{2})

y^{^{''}} - 8 y^{^{'}} + 18 y = 0, y (0) = 1, y^{^{'}} (0) = - 4

\int (8 x^{2} + 5)^{10} x d x

\int 2 x (x^{2} + 7)^{7} d x

\frac{d y}{d x} = - \frac{1}{3} x^{3}