What is the limit as x approaches infinity of (2e^{2x})/(2x) ?

The limit as x approaches infinity of (2e^{2x})/(2x) is infinity

Popular >

limit as x approaches infinity of (2e^{2x})/(2x)

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

\infty

Solution steps

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

Simplify

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

Apply L'Hopital's Rule

: x \to \infty lim (\frac{e ^{2 x} \cdot 2}{1})

= x \to \infty lim (\frac{e ^{2 x} \cdot 2}{1})

Simplify

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

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

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

Apply the Limit Chain Rule:

\infty

= 2 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

x \to 0 lim (cos (\frac{9}{x}))

\int + (x + \frac{1}{x}) (x - \frac{2}{x}) d x

\frac{d}{d x} (cos (x - 2))

\frac{d}{d t} (\frac{t}{3})

\int \frac{16 - 16 x}{1 - x} d x

What is the limit as x approaches infinity of (2e^{2x})/(2x) ?
The limit as x approaches infinity of (2e^{2x})/(2x) is infinity