What is the limit as x approaches 0.001 of (e^x-1)/x ?

The limit as x approaches 0.001 of (e^x-1)/x is 1.00050…

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limit as x approaches 0.001 of (e^x-1)/x

x \to 0.001 lim (\frac{e ^{x} - 1}{x})

1.00050 \dots

Solution steps

x \to 0.001 lim (\frac{e ^{x} - 1}{x})

Plug in the value

x = 0.001

= \frac{e ^{0.001} - 1}{0.001}

Simplify

= 1.00050 \dots

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What is the limit as x approaches 0.001 of (e^x-1)/x ?
The limit as x approaches 0.001 of (e^x-1)/x is 1.00050…