What is the limit as x approaches-6 of 1/((x+6)^4) ?

The limit as x approaches-6 of 1/((x+6)^4) is infinity

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limit as x approaches-6 of 1/((x+6)^4)

x \to - 6 lim (\frac{1}{( x + 6 ) ^{4}})

\infty

Solution steps

x \to - 6 lim (\frac{1}{( x + 6 ) ^{4}})

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 ) ^{4}}) = \infty

x \to - 6 + lim (\frac{1}{( x + 6 ) ^{4}}) = \infty

= \infty

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What is the limit as x approaches-6 of 1/((x+6)^4) ?
The limit as x approaches-6 of 1/((x+6)^4) is infinity