What is the limit as x approaches 2+of (x^3)/(x-2) ?

The limit as x approaches 2+of (x^3)/(x-2) is infinity

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limit as x approaches 2+of (x^3)/(x-2)

x \to 2 + lim (\frac{x ^{3}}{x - 2})

\infty

Solution steps

x \to 2 + lim (\frac{x ^{3}}{x - 2})

\frac{x ^{3}}{x - 2} = x^{3} \frac{1}{x - 2}

= x \to 2 + lim (x^{3} \frac{1}{x - 2})

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^{3}) \cdot x \to 2 + lim (\frac{1}{x - 2})

x \to 2 + lim (x^{3}) = 8

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

= 8 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\int_{5}^{10} 3 x + 3 d x

(- ln (x))^{^{'}}

\int_{1}^{2} x e^{7 x^{2}} d x

f (x) = cos (π x)

- 5 (t - 1) e^{t}

What is the limit as x approaches 2+of (x^3)/(x-2) ?
The limit as x approaches 2+of (x^3)/(x-2) is infinity