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

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

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

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

1.00050 \dots

Solution steps

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

Plug in the value

h = 0.001

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

Simplify

= 1.00050 \dots

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