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 left

, x < 0 \Rightarrow x < 0

The denominator is a negative quantity approaching 0 from the left

= - (- \infty)

Simplify

= \infty

n = 1 \sum \infty \frac{5 n}{6 n + 5}

y = arccot (7 t)

\frac{d}{d x} (\frac{x}{x - y})

\frac{d}{d x} (- \frac{81}{x ^{4}})

\int 1 + 6 x^{\frac{1}{2}} d x

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