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

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

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

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

\infty

Solution steps

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

Simplify

\frac{x ^{- 2}}{2} : \frac{1}{2 x ^{2}}

= x \to 0 + lim (\frac{1}{2 x ^{2}})

For

x

approaching

0

from the right

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

The denominator is a positive quantity approaching 0 from the right

= \infty

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

\frac{d}{d x} ((- 3)^{x})

(4, - 3), (- 2, 7)

f (x) = x^{2} cos (6 x)

f (x) = \frac{1}{3 x ^{2} + 2 x}

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