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

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

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

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

\infty

Solution steps

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

For

x

approaching

3

from the right

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

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 1 lim (2 x^{3} - 4 x + x - 3)

x \to \infty lim (2 x - x^{3})

x \to 5 + lim (\frac{- 3}{x - 5})

x \to 0 - lim (x^{10} - \frac{1}{x})

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

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