What is the limit as x approaches 0+of x/(x^2) ?

The limit as x approaches 0+of x/(x^2) is infinity

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limit as x approaches 0+of x/(x^2)

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

\infty

Solution steps

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

Cancel the common factor:

x

= x \to 0 + lim (\frac{1}{x})

For

x

approaching

0

from the right

, x > 0 \Rightarrow x > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 2 lim (2 x^{2} - x + 5)

x \to 1 lim (2 + 2)

x \to \infty lim (x (5^{\frac{1}{x}} - 1))

x \to 0 + lim (\frac{arctan ( x )}{x})

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

What is the limit as x approaches 0+of x/(x^2) ?
The limit as x approaches 0+of x/(x^2) is infinity