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

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

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

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

\infty

Solution steps

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

For

x

approaching

- 6

from the left

, x < - 6 \Rightarrow (x + 6)^{6} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

f (x) = e^{x} + x

\frac{d y}{d x} = \frac{1 + cos ( 4 x )}{y e ^{y^{2}}}

\int (- \frac{1}{x ^{2}}) d x

f (x) = x^{3} + 2, at x = 1

f (x) = sin^{3} (3 x)

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