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^2}

Solution

x \to 0 + lim ((x)^{- x^{2}})

Solution

1

Solution steps

x \to 0 + lim (x^{- x^{2}})

Apply exponent rules

= x \to 0 + lim (e^{- x^{2} l n (x)})

Apply the Limit Chain Rule:

1

= 1

Graph

Popular Examples

inverse oflaplace te^{2t}

y^{''}+5y^'+4y=sin(3x)

(\partial)/(\partial x)(xy+x^2)

9(x^2+y^2)dx+7xydy=0

sum from n=1 to infinity of (64)/(n^3)

Frequently Asked Questions (FAQ)

What is the limit as x approaches 0+of (x)^{-x^2} ?
The limit as x approaches 0+of (x)^{-x^2} is 1