What is the limit as x approaches 0 of (e^x-1)/(x^9) ?

The limit as x approaches 0 of (e^x-1)/(x^9) is infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 0 of (e^x-1)/(x^9)

x \to 0 lim (\frac{e ^{x} - 1}{x ^{9}})

\infty

Solution steps

x \to 0 lim (\frac{e ^{x} - 1}{x ^{9}})

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

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{e ^{x} - 1}{x ^{9}}) = \infty

x \to 0 + lim (\frac{e ^{x} - 1}{x ^{9}}) = \infty

= \infty

x^{2} y^{^{''}} - 2 x y^{^{'}} + 2 y = 0

f (x) = - x^{2} + 6 x - 8, 4, - 2

\int \frac{1}{6 x + 1} d x

\int_{0}^{6} t e^{- t} d t

\frac{\partial}{\partial x} (w e^{x^{2} + y^{2}} ln (z))

What is the limit as x approaches 0 of (e^x-1)/(x^9) ?
The limit as x approaches 0 of (e^x-1)/(x^9) is infinity