What is the limit as x approaches 0-of 2/x ?

The limit as x approaches 0-of 2/x is -infinity

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limit as x approaches 0-of 2/x

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

- \infty

Solution steps

x \to 0 - lim (\frac{2}{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

x^{^{'}} = x - 2

\frac{d y}{d t} = \frac{1}{( 2 y + 1 )}

3 \cdot e^{- 2 t} + 2 \cdot sin (3 t)

\int_{- 16}^{0} \frac{1}{9 - x} d x

\int cos (2 x) d x

What is the limit as x approaches 0-of 2/x ?
The limit as x approaches 0-of 2/x is -infinity