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

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

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

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

\infty

Solution steps

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

For

x

approaching

2

from the right

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

The denominator is a positive quantity approaching 0 from the right

= \infty

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