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

The limit as x approaches 2 of e^{2x-x^2} is 1

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limit as x approaches 2 of e^{2x-x^2}

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

1

Solution steps

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

Plug in the value

x = 2

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

Simplify

= 1

\int y e^{z} d z

\int \frac{x ^{4} + 1}{x ^{3}} d x

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

x \to 1 lim (\frac{17 - x ^{2} - 4}{x - 1})

What is the limit as x approaches 2 of e^{2x-x^2} ?
The limit as x approaches 2 of e^{2x-x^2} is 1