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

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

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limit as x approaches 0 of (1-e^x)/(e^x)

x \to 0 lim (\frac{1 - e ^{x}}{e ^{x}})

0

Solution steps

x \to 0 lim (\frac{1 - e ^{x}}{e ^{x}})

Plug in the value

x = 0

= \frac{1 - e ^{0}}{e ^{0}}

Simplify

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

= 0

x \to 0 lim ((1 + 4 x)^{\frac{6}{x}})

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