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

The limit as x approaches 0-of-e^{1/x} is 0

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-e^{1/x}

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

0

Solution steps

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

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

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

Apply the Limit Chain Rule:

0

= - 0

Simplify

= 0

What is the limit as x approaches 0-of-e^{1/x} ?
The limit as x approaches 0-of-e^{1/x} is 0