What is the limit as x approaches 0 of (13e^{2x}-13)/(e^x-1) ?

The limit as x approaches 0 of (13e^{2x}-13)/(e^x-1) is 26

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 0 of (13e^{2x}-13)/(e^x-1)

x \to 0 lim (\frac{13 e ^{2 x} - 13}{e ^{x} - 1})

26

Solution steps

x \to 0 lim (\frac{13 e ^{2 x} - 13}{e ^{x} - 1})

Simplify

\frac{13 e ^{2 x} - 13}{e ^{x} - 1} : 13 (e^{x} + 1)

= x \to 0 lim (13 (e^{x} + 1))

Plug in the value

x = 0

= 13 (e^{0} + 1)

Simplify

= 26

What is the limit as x approaches 0 of (13e^{2x}-13)/(e^x-1) ?
The limit as x approaches 0 of (13e^{2x}-13)/(e^x-1) is 26