What is the limit as x approaches-4+of (-2)/(x^2-16) ?

The limit as x approaches-4+of (-2)/(x^2-16) is infinity

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limit as x approaches-4+of (-2)/(x^2-16)

x \to - 4 + lim (\frac{- 2}{x ^{2} - 16})

\infty

Solution steps

x \to - 4 + lim (\frac{- 2}{x ^{2} - 16})

For

x

approaching

- 4

from the right

, x > - 4 \Rightarrow x^{2} - 16 < 0

The denominator is a negative quantity approaching 0 from the left

= \infty

\frac{\partial}{\partial x} (ln (\frac{x}{4}))

\int \frac{32 x ^{2}}{( x - 12 ) ( x + 4 ) ^{2}} d x

\frac{x ^{4}}{5 - x ^{3}}

\int_{0}^{\frac{1}{2}} (e^{x}) (e^{x}) d x

\int \frac{2}{2 + cos ( x )} d x

What is the limit as x approaches-4+of (-2)/(x^2-16) ?
The limit as x approaches-4+of (-2)/(x^2-16) is infinity