What is the limit as x approaches infinity of 5e^x ?

The limit as x approaches infinity of 5e^x is infinity

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limit as x approaches infinity of 5e^x

x \to \infty lim (5 e^{x})

\infty

Solution steps

x \to \infty lim (5 e^{x})

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

= 5 \cdot x \to \infty lim (e^{x})

Apply the common limit:

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

= 5 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\frac{\partial}{\partial x} (7 x^{6 y})

\frac{\partial}{\partial b} ((a x + b - y)^{2})

\int e^{\frac{- x}{3}} cos (5 x) d x

x \to 0 lim (\frac{11 sin ( 8 x )}{x})

7 y^{3} + 9 x^{8} = 5 y + 11 x, (1, 1)

What is the limit as x approaches infinity of 5e^x ?
The limit as x approaches infinity of 5e^x is infinity