What is the limit as x approaches 2+of 1/((x-2)^3) ?

The limit as x approaches 2+of 1/((x-2)^3) is infinity

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limit as x approaches 2+of 1/((x-2)^3)

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

\infty

Solution steps

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

For

x

approaching

2

from the right

, x > 2 \Rightarrow (x - 2)^{3} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 0 lim (\frac{x}{x ^{2} - 4 x})

\int \frac{1}{( a x + b ) ^{2}} d x

x \to 3 lim (\frac{1}{∣ x - 3 ∣})

\frac{d}{d x} (x^{2} \cdot 2 x)

\frac{d}{d x} (x^{2} ln (\frac{x}{2}))

What is the limit as x approaches 2+of 1/((x-2)^3) ?
The limit as x approaches 2+of 1/((x-2)^3) is infinity