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

The limit as x approaches-infinity of e^2x^2 is infinity

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limit as x approaches-infinity of e^2x^2

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

\infty

Solution steps

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

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

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

x \to a lim [f (x)]^{b} = [x \to a lim f (x)]^{b}

With the exception of indeterminate form

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

Apply the common limit:

x \to - \infty lim (x) = - \infty

= e^{2} (- \infty)^{2}

Simplify

e^{2} (- \infty)^{2} : \infty

= \infty

\frac{d}{d x} (e^{- 2 x} (cos (3 x) + sin (3 x)))

\int \frac{4400 q}{4 q ^{2} + 320} d q

y^{^{'}} = - 0.5 y^{1.5}

\frac{\partial}{\partial y} (x arcsin (\frac{y}{x}))

f (x) = (x + 5) (9 x + 5)

What is the limit as x approaches-infinity of e^2x^2 ?
The limit as x approaches-infinity of e^2x^2 is infinity