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

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

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

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

e^{2}

Decimal

7.38905 \dots

Solution steps

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

Plug in the value

x = - 2

= e^{- 2 + (- 2)^{2}}

Simplify

e^{- 2 + (- 2)^{2}} : e^{2}

= e^{2}

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