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 right

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

The denominator is a positive quantity approaching 0 from the right

= \infty

\int_{0}^{3} - 6 x^{2} d x

f (x) = 2 x^{3} - 5 x + 4, at x = - 1

\frac{1}{3 x ^{3}} + \frac{x ^{7}}{10}

x \to 2 + lim (x - 1)

\frac{5 s}{( s + 4 ) ^{3}}

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