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

x \to 0 lim (sin (x) tan (x))

x \to - 5 lim (- 4)

x \to 0 lim (\frac{1}{3 x csc ( x )})

x \to 0 + lim (- 1 + ln (x) (x))

x \to 0 lim (\frac{( 3 x ^{2} - x )}{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