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

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

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

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

\infty

Solution steps

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

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

then

x \to a lim f (x) = L

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

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

= \infty

\frac{d}{d x} (10 x + 4 y)

8 tan (2 x)

\frac{d}{d x} (x^{2} - 64)

x \to 28 lim (\frac{x ^{2}}{4} - \frac{7}{x})

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