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

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

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

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

\infty

Solution steps

x \to 2 + lim (\frac{2}{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 \frac{3 ^{5 x} - 1}{3 ^{5 x}} d x

d er i v a t i v e 3 (5 e^{5 x} cos (6 x) - 6 e^{5 x} sin (6 x))

n = 0 \sum \infty (- \frac{1}{6})^{n}

\int \frac{1}{x ^{5} 4 x ^{2} - 1} d x

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

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