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

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

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

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

\infty

Solution steps

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

\frac{x}{x ^{2} - 4} = x \frac{1}{x ^{2} - 4}

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

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

With the exception of indeterminate form

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

x \to 2 + lim (x) = 2

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

= 2 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\int x ln (2 x + 1) d x

\int \frac{x ^{3} + 1}{x + 1} d x

x \to 3 - lim (\frac{3}{x - 3})

\frac{d ^{2}}{d x ^{2}} (\frac{3}{4 t ^{6}})

t an g e n t f (x) = \frac{( x - 5 )}{( x - 6 ) , ( 7 , 2 )}

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