What is the limit as x approaches-6 of 1/((x+6)^2) ?

The limit as x approaches-6 of 1/((x+6)^2) is infinity

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limit as x approaches-6 of 1/((x+6)^2)

x \to - 6 lim (\frac{1}{( x + 6 ) ^{2}})

\infty

Solution steps

x \to - 6 lim (\frac{1}{( x + 6 ) ^{2}})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to - 6 - lim (\frac{1}{( x + 6 ) ^{2}}) = \infty

x \to - 6 + lim (\frac{1}{( x + 6 ) ^{2}}) = \infty

= \infty

\frac{d}{d x} (\frac{\frac{d}{d x} ( 1 )}{x})

y^{^{''}} - 4 y^{^{'}} - 32 y = 0

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

\frac{d y}{d t} = y (3 - y), y (0) = 4

\frac{s}{s ^{2} - \frac{1}{s}}

What is the limit as x approaches-6 of 1/((x+6)^2) ?
The limit as x approaches-6 of 1/((x+6)^2) is infinity