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

The limit as x approaches infinity of 2xe^x is infinity

Popular >

limit as x approaches infinity of 2xe^x

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

\infty

Solution steps

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

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

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

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

With the exception of indeterminate form

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

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

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

= 2 \cdot \infty \cdot \infty

Apply Infinity Property:

2\infty \infty = \infty

= \infty

x \to 0 lim (2 ∣ x - 5 ∣)

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

x \to 0 lim (\frac{ln ( 1 - 5 x )}{x})

x \to \infty lim (a x + b)

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

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