What is the sum from n=0 to infinity of (0.5^n)/(n!) ?

The sum from n=0 to infinity of (0.5^n)/(n!) is converges

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sum from n=0 to infinity of (0.5^n)/(n!)

n = 0 \sum \infty \frac{0. 5 ^{n}}{n !}

converges

Solution steps

n = 0 \sum \infty \frac{0. 5 ^{n}}{n !}

Apply Series Ratio Test:

converges

= converges

\int 8 x^{\frac{1}{3}} d x

\frac{\partial}{\partial x} (y e^{x} - 3 x - y + 5)

x \to 0 - lim (\frac{x ^{2} - x}{∣ x ∣})

t \to 0 lim (3)

y = \frac{3 x ^{4} + 7}{x ^{2}}

What is the sum from n=0 to infinity of (0.5^n)/(n!) ?
The sum from n=0 to infinity of (0.5^n)/(n!) is converges