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 right

, x > 0 \Rightarrow 3 x > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\int \frac{9}{x ^{2} + 9} d x

\int \frac{1}{9 - 6 x} d x

\int \frac{1}{e ^{x} - 1} d x

\int sin (\frac{x}{2}) d x

f (x) = \frac{1}{cos ( x )}

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