What is the limit as x approaches 0-of (x+5)e^{1/x} ?

The limit as x approaches 0-of (x+5)e^{1/x} is 0

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 (x+5)e^{1/x}

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

0

Solution steps

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

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

With the exception of indeterminate form

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

x \to 0 - lim (x + 5) = 5

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

= 5 \cdot 0

Simplify

= 0

x \to - 2 lim (x^{2})

\frac{d}{d x} (π^{e} + x^{e})

e^{- \frac{1}{x}}

\int 7 x^{5} - 5 x^{4} + 6 x^{2} - 14 x + 3 d x

(\frac{x ^{2} - 9}{x - 3})^{^{'}}

What is the limit as x approaches 0-of (x+5)e^{1/x} ?
The limit as x approaches 0-of (x+5)e^{1/x} is 0