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 positive quantity approaching 0 from the right

= - \infty

y = arcsin (2 \cdot t)

\frac{d}{d x} ((a x^{2} + b x + c) \cdot e^{- \frac{x}{6}})

\int x cos (182 x) d x

f (x) = sin (x) + 3, at x = π

8 x \cdot sin (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