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})

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{ln ( sin ( x ) )}{tan ( x )} d x

\frac{x}{9} - \frac{9}{x}

f (x) = e^{c o s (x)}

x^{2} + 2 y^{2} = 3, (1, 1)

\int (5 - 4 e^{x} + \frac{3}{x ^{2}}) d x

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