en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

limit as x approaches 0 of |x|^x

Solution

x \to 0 lim (∣ x ∣^{x})

Solution

1

Solution steps

x \to 0 lim (∣ x ∣^{x})

If

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (∣ x ∣^{x}) = 1

x \to 0 + lim (∣ x ∣^{x}) = 1

= 1

Graph

Popular Examples

limit as x approaches 3-of 6/((x-3)^5)

x \to 3 - lim (\frac{6}{( x - 3 ) ^{5}})

area y=x^2,y=3-2x

a re a y = x^{2}, y = 3 - 2 x

integral of (4x)/(x^4-16)

\int \frac{4 x}{x ^{4} - 16} d x

derivative of y=2cot(t)-e^{-t}

d er i v a t i v e y = 2 cot (t) - e^{- t}

integral of ((1+sqrt(x))^3)/(sqrt(x))

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

Frequently Asked Questions (FAQ)

What is the limit as x approaches 0 of |x|^x ?
The limit as x approaches 0 of |x|^x is 1