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 left

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

The denominator is a negative quantity approaching 0 from the left

= - \infty

\int x cos^{2} (2 x) d x

\frac{( - 1 )}{s ^{2} + 5 s + 6}

f (x) = \frac{3 x - 1}{x}

\int \frac{cos ^{5} ( x )}{sin ^{3} ( x )} d x

\int_{0}^{0.6} \frac{1}{( 1 - x ) ( 3 - x )} d x

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