What is the limit as x approaches-4 of 2/((x+4)^6) ?

The limit as x approaches-4 of 2/((x+4)^6) is infinity

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limit as x approaches-4 of 2/((x+4)^6)

x \to - 4 lim (\frac{2}{( x + 4 ) ^{6}})

\infty

Solution steps

x \to - 4 lim (\frac{2}{( x + 4 ) ^{6}})

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{2}{( x + 4 ) ^{6}}) = \infty

x \to - 4 + lim (\frac{2}{( x + 4 ) ^{6}}) = \infty

= \infty

\frac{d}{d x} f (x) = (x^{4} + 3 x^{2} - 9)^{6}

\int \frac{x ^{2} - x - 5}{x ^{3} + x ^{2} - 2} d x

\frac{7}{sin ( x ) + cos ( x )}

\int - 9 e^{- 9 x} + \frac{- 7 x + 5 x ^{5}}{x ^{2}} d x

x \to 2 lim (3 x^{2} + 7 x - 15)

What is the limit as x approaches-4 of 2/((x+4)^6) ?
The limit as x approaches-4 of 2/((x+4)^6) is infinity