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

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

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

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

\infty

Solution steps

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

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

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

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

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

= 4 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

f (t) = \frac{1}{2 t + 3}

n = 0 \sum \infty 6 (- 1)^{n} n x^{n}

sin (2 θ) cos (θ)

x \to - 2 + lim (3 x + 6 - 6)

\int x^{2} (2 x^{3} - 1)^{4} d x

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