What is the limit as x approaches 0+of-1/x ?

The limit as x approaches 0+of-1/x is -infinity

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limit as x approaches 0+of-1/x

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

- \infty

Solution steps

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

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (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

\frac{d y}{d t} = - y^{2}, y (0) = \frac{1}{2}

\int e^{5 x} \cdot 3 e^{5 x} + 2 d x

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

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

\int - 3 sin (3 x) d x

What is the limit as x approaches 0+of-1/x ?
The limit as x approaches 0+of-1/x is -infinity