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

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

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

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

\infty

Solution steps

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

Cancel the common factor:

x^{- 2}

= x \to 0 + lim (\frac{1}{x ^{3}})

For

x

approaching

0

from the right

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

The denominator is a positive quantity approaching 0 from the right

= \infty

\int x 36 - x^{2} d x

\int \frac{e ^{t}}{( 1 + e ^{(2 t)} ) ^{(\frac{3}{2})}} d t

\int 3 x - 2 d x

\frac{d y}{d x} = 3 y \cdot e^{x + 3}

y = \frac{x ^{2} + 7}{5 x - x ^{2}}, 1, 4

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