What is the limit as x approaches 0-of 1/(3x) ?

The limit as x approaches 0-of 1/(3x) is -infinity

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limit as x approaches 0-of 1/(3x)

x \to 0 - lim (\frac{1}{3 x})

- \infty

Solution steps

x \to 0 - lim (\frac{1}{3 x})

For

x

approaching

0

from the left

, x < 0 \Rightarrow 3 x < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

\frac{\partial}{\partial x} (\frac{x}{x y} + \frac{y}{x y})

\int \frac{sin ^{3} ( x )}{cos ( x )} d x

x^{2} y^{^{'}} + \frac{4}{3} x y = 3 cos (3 x) y^{- \frac{1}{2}}

y = 3 x, x = 3, y = 1

y^{^{'}} + y = x y^{2}

What is the limit as x approaches 0-of 1/(3x) ?
The limit as x approaches 0-of 1/(3x) is -infinity