What is the limit as x approaches 2-of-1/(x-2) ?

The limit as x approaches 2-of-1/(x-2) is infinity

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limit as x approaches 2-of-1/(x-2)

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

\infty

Solution steps

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

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

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

For

x

approaching

2

from the left

, x < 2 \Rightarrow x - 2 < 0

The denominator is a negative quantity approaching 0 from the left

= - (- \infty)

Simplify

= \infty

in v erse l a pl a ce \frac{16}{s ^{2} + 9}

\frac{\partial}{\partial y} (\frac{4 x}{y})

\frac{d}{d x} (- \frac{1}{2} x^{4})

x \to 4 lim (3 x^{3})

\int x^{2} cos (\frac{1}{4} x) d x

What is the limit as x approaches 2-of-1/(x-2) ?
The limit as x approaches 2-of-1/(x-2) is infinity