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})

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

t an g e n t f (x) = 2 x, at x = 1

f (x) = (ln (x))^{6}

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

\int \frac{1}{49 x ^{2} - 64} d x

\frac{d}{d x} (- b sin (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