What is the limit as x approaches 0+of x^{10x} ?

The limit as x approaches 0+of x^{10x} 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^{10x}

x \to 0 + lim (x^{10 x})

1

Solution steps

x \to 0 + lim (x^{10 x})

Apply exponent rules

= x \to 0 + lim (e^{10 x l n (x)})

Apply the Limit Chain Rule:

1

= 1

\frac{\partial}{\partial x} (x^{5} + y^{5} - 5 x^{3} y^{3})

x \to 1 lim (\frac{x ^{2} - 1}{x + 2})

f (x) = 9 x^{2}, at x = - 2

y = - x + 4, y = x^{2}, x = 0, x = 4

\int 3 x^{- 4} (2 + 4 x^{- 3})^{- 7} d x

What is the limit as x approaches 0+of x^{10x} ?
The limit as x approaches 0+of x^{10x} is 1