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}})

For

x

approaching

- 6

from the right

, x > - 6 \Rightarrow (x + 6)^{4} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

- 2 y^{2} d y = y^{3} v d v

x \to 4 lim ((5 x + 7)^{4})

\int \frac{4 x ^{3} + 2 x ^{2} + 8}{( x ^{2} + 4 ) ^{2}} d x

\frac{d}{d x} (\frac{( ln ( x ) ) ^{2}}{e ^{x}})

f (x) = 8 sin (2 x)

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