What is the limit as x approaches 0-of 12e^{(-2)/x} ?

The limit as x approaches 0-of 12e^{(-2)/x} is infinity

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limit as x approaches 0-of 12e^{(-2)/x}

x \to 0 - lim (12 e^{\frac{- 2}{x}})

\infty

Solution steps

x \to 0 - lim (12 e^{\frac{- 2}{x}})

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

= 12 \cdot x \to 0 - lim (e^{\frac{- 2}{x}})

Simplify

= 12 \cdot x \to 0 - lim (e^{- \frac{2}{x}})

Apply the Limit Chain Rule:

\infty

= 12 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

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y^{^{'''}} - 12 y^{^{''}} + 47 y^{^{'}} - 66 y = 0

What is the limit as x approaches 0-of 12e^{(-2)/x} ?
The limit as x approaches 0-of 12e^{(-2)/x} is infinity