What is the limit as x approaches 0 of ((5e^x-5))/x ?

The limit as x approaches 0 of ((5e^x-5))/x is 5

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 ((5e^x-5))/x

x \to 0 lim (\frac{( 5 e ^{x} - 5 )}{x})

5

Solution steps

x \to 0 lim (\frac{5 e ^{x} - 5}{x})

Apply L'Hopital's Rule

: x \to 0 lim (\frac{5 e ^{x}}{1})

= x \to 0 lim (\frac{5 e ^{x}}{1})

Plug in the value

x = 0

= \frac{5 e ^{0}}{1}

Simplify

= 5

\frac{\partial}{\partial y} (x^{2} - 3 y^{2} + 7)

\int \frac{( x + 1 )}{( x - 1 )} d x

x \to 1 + lim (2)

f (x) = x, (16, 4)

x \to 5 lim (2 x^{2} - 5 x + 3)

What is the limit as x approaches 0 of ((5e^x-5))/x ?
The limit as x approaches 0 of ((5e^x-5))/x is 5