What is the sum from n=0 to infinity of 1/(n+6) ?

The sum from n=0 to infinity of 1/(n+6) is diverges

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sum from n=0 to infinity of 1/(n+6)

n = 0 \sum \infty \frac{1}{n + 6}

diverges

Solution steps

n = 0 \sum \infty \frac{1}{n + 6}

Apply Series Integral Test:

diverges

= diverges

\int e^{x} cos (4 x) d x

t an g e n t f (x) = x^{4} - 17 x^{2} + 16, at x = - 2

d er i v a t i v e \frac{- 5}{x ^{6}}

\int (1 + x^{2}) (2 x) d x

d er i v a t i v e sec (6 x)

What is the sum from n=0 to infinity of 1/(n+6) ?
The sum from n=0 to infinity of 1/(n+6) is diverges