What is the limit as x approaches 2 of 2xe^{x^2} ?

The limit as x approaches 2 of 2xe^{x^2} is 4e^4

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limit as x approaches 2 of 2xe^{x^2}

x \to 2 lim (2 x e^{x^{2}})

4 e^{4}

Decimal Notation

218.39260 \dots

Solution steps

x \to 2 lim (2 x e^{x^{2}})

Plug in the value

x = 2

= 2 \cdot 2 e^{2^{2}}

Simplify

= 4 e^{4}

\int 2 x^{3} (1 - x^{4})^{- \frac{1}{4}} d x

\int \frac{x}{9 - 4 x ^{2}} d x

\int \frac{( 1 + 6 ln ( x ) ) ^{2}}{x} d x

\frac{d}{d x} (\frac{b}{x})

\frac{d y}{d x} = \frac{x ^{2} y ^{2}}{1 + x}

What is the limit as x approaches 2 of 2xe^{x^2} ?
The limit as x approaches 2 of 2xe^{x^2} is 4e^4