What is the limit as x approaches infinity of 4e^x ?

The limit as x approaches infinity of 4e^x is infinity

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limit as x approaches infinity of 4e^x

x \to \infty lim (4 e^{x})

\infty

Solution steps

x \to \infty lim (4 e^{x})

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

= 4 \cdot x \to \infty lim (e^{x})

Apply the common limit:

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

= 4 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

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\int 0.2 e^{- 0.2 x} d x

sin (4 t + \frac{π}{3})

What is the limit as x approaches infinity of 4e^x ?
The limit as x approaches infinity of 4e^x is infinity