What is the sum from n=0 to infinity of arctan(pi/4) ?

The sum from n=0 to infinity of arctan(pi/4) is diverges

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sum from n=0 to infinity of arctan(pi/4)

n = 0 \sum \infty arctan (\frac{π}{4})

diverges

Solution steps

n = 0 \sum \infty arctan (\frac{π}{4})

Every infinite sum of a non-zero constant diverges

= diverges

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

n = 0 \sum \infty 10 ln (8 - n)

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

n = 0 \sum \infty \frac{n ^{2}}{2 n}

n = 5 \sum \infty \frac{1 ^{n}}{n !}

What is the sum from n=0 to infinity of arctan(pi/4) ?
The sum from n=0 to infinity of arctan(pi/4) is diverges