What is the limit as x approaches-infinity of 3e^x ?

The limit as x approaches-infinity of 3e^x is 0

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limit as x approaches-infinity of 3e^x

x \to - \infty lim (3 e^{x})

0

Solution steps

x \to - \infty lim (3 e^{x})

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

= 3 \cdot x \to - \infty lim (e^{x})

Apply the common limit:

x \to - \infty lim (e^{x}) = 0

= 3 \cdot 0

Simplify

= 0

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What is the limit as x approaches-infinity of 3e^x ?
The limit as x approaches-infinity of 3e^x is 0