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

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

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

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

\infty

Solution steps

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

Simplify

\frac{x + 2}{x ^{2} - 4} : \frac{1}{x - 2}

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

For

x

approaching

2

from the right

, x > 2 \Rightarrow x - 2 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

5 + 2 x

\int \frac{1}{x ^{2} 7 - x ^{2}} d x

\frac{\partial}{\partial t} (\frac{( s - r )}{t})

x \to 10 lim (\frac{( 3 x ^{2} - 30 x )}{x ^{2} - 100})

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

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