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 left

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

The denominator is a negative quantity approaching 0 from the left

= - \infty

\frac{3}{1 + x - 2 x ^{2}}

\int cos (\frac{π y}{2}) d y

\frac{d}{d x} (a sin (3 x) + b cos (3 x))

e^{- 4 x}

\int 5 - 4 x - x^{2} 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