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

The limit as x approaches-infinity of 5e^x is 0

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limit as x approaches-infinity of 5e^x

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

0

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}) = 0

= 5 \cdot 0

Simplify

= 0

x \to 0 lim (4 - x^{2})

x \to + 2 + lim (\frac{3 x - 1}{x + 2})

x \to 8 lim (cos (x))

x \to 2 + lim (\frac{3 + x}{6 - 3 x})

x \to 0 lim (x^{2} + x - \frac{1}{x} - 1)

What is the limit as x approaches-infinity of 5e^x ?
The limit as x approaches-infinity of 5e^x is 0