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Popular >

limit as x approaches 0 of e^xx

Solution

x \to 0 lim (e^{x} x)

Solution

0

Solution steps

x \to 0 lim (e^{x} x)

Plug in the value

x = 0

= e^{0} \cdot 0

Simplify

= 0

Graph

Popular Examples

limit as x approaches 0+of (x^2+3x+4)/x

x \to 0 + lim (\frac{x ^{2} + 3 x + 4}{x})

limit as x approaches-3 of x^3-3x-7

x \to - 3 lim (x^{3} - 3 x - 7)

limit as x approaches 0 of (e^{x^2}-cos(x))/(sin^2(x)+3sin^5(x))

x \to 0 lim (\frac{e ^{x^{2}} - cos ( x )}{sin ^{2} ( x ) + 3 sin ^{5} ( x )})

limit as x approaches-2 of sqrt(3x^2+4)

x \to - 2 lim (3 x^{2} + 4)

limit as x approaches-1+of 2x+1

x \to - 1 + lim (2 x + 1)

Frequently Asked Questions (FAQ)

What is the limit as x approaches 0 of e^xx ?
The limit as x approaches 0 of e^xx is 0