What is the sum from n=1 to infinity of arctan(n^2) ?

The sum from n=1 to infinity of arctan(n^2) is diverges

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sum from n=1 to infinity of arctan(n^2)

n = 1 \sum \infty arctan (n^{2})

diverges

Solution steps

n = 1 \sum \infty arctan (n^{2})

Apply Series Divergence Test:

diverges

= diverges

x \to 0 lim (\frac{( 2 ^{x} - 2 ^{- x} )}{x})

\frac{d}{d x} (sin^{2} (\frac{x + 2}{x + 1}))

y^{^{'}} = ln (x) y + x^{x}

\frac{d}{d x} (sin (x) + cos (x))

What is the sum from n=1 to infinity of arctan(n^2) ?
The sum from n=1 to infinity of arctan(n^2) is diverges