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

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

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limit as x approaches infinity of-3e^x

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

- \infty

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}) = \infty

= - 3 \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

\frac{d}{d x} (- \frac{y}{y ^{2} + x ^{2}})

\frac{d}{d x} (cos^{4} (x) - 2 x^{2})

\frac{1}{s + 11}

\frac{d y}{d t} + t y = y

(- 3, 1), (2, - 14)

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