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

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\int \frac{1}{2} ln x^{2} + 1 d x

\int \frac{sin ( x )}{cos ^{2} ( x ) + 1} d x

\int sin (3 x) sin (2 x) sin (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