What is the limit as x approaches-6-of-1/(x+6) ?

The limit as x approaches-6-of-1/(x+6) is infinity

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limit as x approaches-6-of-1/(x+6)

x \to - 6 - lim (- \frac{1}{x + 6})

\infty

Solution steps

x \to - 6 - lim (- \frac{1}{x + 6})

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

= - x \to - 6 - lim (\frac{1}{x + 6})

For

x

approaching

- 6

from the left

, x < - 6 \Rightarrow x + 6 < 0

The denominator is a negative quantity approaching 0 from the left

= - (- \infty)

Simplify

= \infty

\int_{1}^{3} (3 - x)^{2} d x

\frac{d}{d x} (\frac{1}{e ^{x} + e ^{- x}})

\int \frac{x + 1}{e ^{x}} d x

\frac{d}{d x} (\frac{x - 1}{x ^{2} - x + 1})

\int \frac{x}{- x - 1} d x

What is the limit as x approaches-6-of-1/(x+6) ?
The limit as x approaches-6-of-1/(x+6) is infinity