What is the limit as x approaches 2+of-1/(x^2-4) ?

The limit as x approaches 2+of-1/(x^2-4) is -infinity

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limit as x approaches 2+of-1/(x^2-4)

x \to 2 + lim (- \frac{1}{x ^{2} - 4})

- \infty

Solution steps

x \to 2 + lim (- \frac{1}{x ^{2} - 4})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= - x \to 2 + lim (\frac{1}{x ^{2} - 4})

For

x

approaching

2

from the right

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

The denominator is a positive quantity approaching 0 from the right

= - \infty

\int (tan (θ) sec (θ)) d θ

\int \frac{1 - cos ( x )}{1 + cos ( x )} d x

\int e^{2 x - 7} d x

\frac{d}{d x} (4 arcsin (x^{3}))

What is the limit as x approaches 2+of-1/(x^2-4) ?
The limit as x approaches 2+of-1/(x^2-4) is -infinity