What is the limit as x approaches 2+of 4/((x-2)^3) ?

The limit as x approaches 2+of 4/((x-2)^3) is infinity

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limit as x approaches 2+of 4/((x-2)^3)

x \to 2 + lim (\frac{4}{( x - 2 ) ^{3}})

\infty

Solution steps

x \to 2 + lim (\frac{4}{( 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

\frac{d}{d x} (3 x^{\frac{1}{3}} + 2 x^{2})

\int e^{3 x} sin (e^{x}) d x

x \to - \infty lim (2^{x})

n \to \infty lim (\frac{( - 1 ) ^{n + 1}}{( n + 3 ) \cdot n !})

What is the limit as x approaches 2+of 4/((x-2)^3) ?
The limit as x approaches 2+of 4/((x-2)^3) is infinity