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

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

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sum from n=1 to infinity of arctan(n+1)

n = 1 \sum \infty arctan (n + 1)

diverges

Solution steps

n = 1 \sum \infty arctan (n + 1)

Apply Series Divergence Test:

diverges

= diverges

z \to i lim (z (z + 1))

f (x) = ln (4 x + 1)

\frac{d}{d x} (\frac{1}{ln ^{2} ( x )})

\int \frac{1}{x 9 x ^{2} + 16} d x

\int t^{2} t^{3} + 1 d t

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