What is the sum from k=0 to infinity of (e/(10))^k ?

The sum from k=0 to infinity of (e/(10))^k is (10)/(10-e)

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sum from k=0 to infinity of (e/(10))^k

k = 0 \sum \infty (\frac{e}{10})^{k}

\frac{10}{10 - e}

Decimal

1.37330 \dots

Solution steps

k = 0 \sum \infty (\frac{e}{10})^{k}

Apply Series Geometric Test:

\frac{10}{10 - e}

= \frac{10}{10 - e}

x \to 1 - lim (- x^{2} + 3 x - 4)

\frac{d}{d x} (e^{x} (cos (x)))

\frac{d}{d t} (t^{2} sin (wt))

t a y l or e^{5 x}

t a y l or \frac{1}{( 1 - 3 x ^{2} )}, x = 0.577

What is the sum from k=0 to infinity of (e/(10))^k ?
The sum from k=0 to infinity of (e/(10))^k is (10)/(10-e)