What is the limit as x approaches 3 of (x^x+x)^x ?

The limit as x approaches 3 of (x^x+x)^x is 27000

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 3 of (x^x+x)^x

x \to 3 lim ((x^{x} + x)^{x})

27000

Solution steps

x \to 3 lim ((x^{x} + x)^{x})

Plug in the value

x = 3

= (3^{3} + 3)^{3}

Simplify

= 27000

(ln (\frac{x}{3}))^{^{'}}

x^{3} (x - 7)^{2}

y = x^{2} + 3

\frac{\partial}{\partial y} (41 - x^{2} - 4 y^{2})

y^{^{''}} + \frac{y}{a} = 0

What is the limit as x approaches 3 of (x^x+x)^x ?
The limit as x approaches 3 of (x^x+x)^x is 27000