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…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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…