What is the sum from n=0 to infinity of cos(pi*n) ?

The sum from n=0 to infinity of cos(pi*n) is diverges

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sum from n=0 to infinity of cos(pi*n)

n = 0 \sum \infty cos (π \cdot n)

diverges

Solution steps

n = 0 \sum \infty cos (πn)

Apply Series Divergence Test:

diverges

= diverges

\int \frac{1}{4 x ^{2} - 1} d x

\frac{\partial}{\partial x} (sin (6 x y + 7 yz + 9 x z))

\int \frac{x + 1}{x - 1} d x

\int (4 x - \frac{2}{x} + 5 sin (x)) d x

x \to \infty lim ((4)^{x})

What is the sum from n=0 to infinity of cos(pi*n) ?
The sum from n=0 to infinity of cos(pi*n) is diverges