What is the limit as x approaches 0+of (x+1)^{Inx} ?

The limit as x approaches 0+of (x+1)^{Inx} is 1

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+1)^{Inx}

x \to 0 + lim ((x + 1)^{I n x})

1

Solution steps

x \to 0 + lim ((x + 1)^{I n x})

Plug in the value

x = 0

= (0 + 1)^{I n \cdot 0}

Simplify

= 1

\int \frac{( ln ( x ) )}{x ^{3}} d x

\frac{d v}{d t} = - k v

\frac{d y}{d x} - \frac{7 y}{x} = \frac{y ^{3}}{x ^{9}}

\frac{d}{d x} (\frac{3 x ^{2}}{2 x + 1})

\frac{d y}{d x} = \frac{( x - 2 )}{( y - 2 )}

What is the limit as x approaches 0+of (x+1)^{Inx} ?
The limit as x approaches 0+of (x+1)^{Inx} is 1