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

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

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

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

\infty

Solution steps

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

Cancel the common factor:

x

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

\frac{d}{d x} (\frac{5 - 4 x ^{2} + x ^{5}}{x ^{3}})

\int \frac{36}{36 + e ^{x}} d x

x \to 4 lim (\frac{3 x}{x - 4})

\frac{\partial}{\partial x} (e^{x y^{2}})

\frac{d}{d x} (\frac{6}{x + 3})

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