What is the sum from n=0 to infinity of arctan(3n) ?

The sum from n=0 to infinity of arctan(3n) is diverges

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sum from n=0 to infinity of arctan(3n)

n = 0 \sum \infty arctan (3 n)

diverges

Solution steps

n = 0 \sum \infty arctan (3 n)

Apply Series Divergence Test:

diverges

= diverges

n = 2 \sum \infty \frac{1}{n} - \frac{1}{n + 1}

n = 1 \sum \infty \frac{1 6 ^{n}}{n !}

k = 1 \sum \infty k e^{- 4 k^{2}}

n = 2 \sum \infty \frac{7}{n ln ( n )}

n = 0 \sum \infty \frac{n !}{40 0 ^{n}}

What is the sum from n=0 to infinity of arctan(3n) ?
The sum from n=0 to infinity of arctan(3n) is diverges