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

The limit as t approaches 0 of (e^t-1)/(t^3) is infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as t approaches 0 of (e^t-1)/(t^3)

t \to 0 lim (\frac{e ^{t} - 1}{t ^{3}})

\infty

Solution steps

t \to 0 lim (\frac{e ^{t} - 1}{t ^{3}})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

t \to 0 - lim (\frac{e ^{t} - 1}{t ^{3}}) = \infty

t \to 0 + lim (\frac{e ^{t} - 1}{t ^{3}}) = \infty

= \infty

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