What is the limit as x approaches 8-of 1/((x-8)^2) ?

The limit as x approaches 8-of 1/((x-8)^2) is infinity

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limit as x approaches 8-of 1/((x-8)^2)

x \to 8 - lim (\frac{1}{( x - 8 ) ^{2}})

\infty

Solution steps

x \to 8 - lim (\frac{1}{( x - 8 ) ^{2}})

For

x

approaching

8

from the left

, x < 8 \Rightarrow (x - 8)^{2} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\int (cos (x^{2})) d x

\int x e^{2 x + 1} d x

x \to 0 lim (\frac{x}{x ^{2} - 6 x})

f (x) = \frac{5 x - 7}{x + 1}, at x = 0

\frac{d}{d x} (2 x + 3 x)

What is the limit as x approaches 8-of 1/((x-8)^2) ?
The limit as x approaches 8-of 1/((x-8)^2) is infinity