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

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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

\frac{d ^{2}}{d x ^{2}} (7 θ sin (θ))

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

\frac{\partial}{\partial x} (3 y^{2} + x cos (x y))

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

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

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