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

2 x^{2} - 3

\int \frac{1}{25 x ^{2} - 4} d x

\frac{d}{d x} (\frac{1}{2} x^{3} + \frac{1}{6 x})

\frac{\partial}{\partial x} (3^{4} - 6 5^{3})

y^{^{'}} = 3 y - 2 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