What is the limit as x approaches 0 of 3/(10-e^x) ?

The limit as x approaches 0 of 3/(10-e^x) is 1/3

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limit as x approaches 0 of 3/(10-e^x)

x \to 0 lim (\frac{3}{10 - e ^{x}})

\frac{1}{3}

Decimal Notation

0.33333 \dots

Solution steps

x \to 0 lim (\frac{3}{10 - e ^{x}})

Plug in the value

x = 0

= \frac{3}{10 - e ^{0}}

Simplify

\frac{3}{10 - e ^{0}} : \frac{1}{3}

= \frac{1}{3}

\int 2 e^{2}

\frac{d}{d x} (x lo g_{2} (x))

n = 1 \sum \infty - \frac{1}{8 ^{n}}

\int \frac{4 x ^{2} - x + 5}{12 x} d x

\int \frac{x ^{5}}{x ^{2} + 3} d x

What is the limit as x approaches 0 of 3/(10-e^x) ?
The limit as x approaches 0 of 3/(10-e^x) is 1/3