What is the sum from n=1 to infinity}((-1)^{n-1 of)/(n!) ?

The sum from n=1 to infinity}((-1)^{n-1 of)/(n!) is converges

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sum from n=1 to infinity}((-1)^{n-1 of)/(n!)

n = 1 \sum \infty \frac{( - 1 ) ^{n - 1}}{n !}

converges

Solution steps

n = 1 \sum \infty \frac{( - 1 ) ^{n - 1}}{n !}

Apply Alternating Series Test:

converges

= converges

\frac{x ^{2} - 3 x}{2}

ln (x + x^{2} + 1)

x \to \infty lim (\frac{x}{( ln ( x ) ) ^{3} + 2 x})

2 y \frac{d y}{d x} = \frac{x}{x ^{2} - 16}, y (5) = 2

\int 9 x - 36 d x

What is the sum from n=1 to infinity}((-1)^{n-1 of)/(n!) ?
The sum from n=1 to infinity}((-1)^{n-1 of)/(n!) is converges