What is the limit as x approaches 0+of x/(3x)-7x ?

The limit as x approaches 0+of x/(3x)-7x is 1/3

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limit as x approaches 0+of x/(3x)-7x

x \to 0 + lim (\frac{x}{3 x} - 7 x)

\frac{1}{3}

Decimal Notation

0.33333 \dots

Solution steps

x \to 0 + lim (\frac{x}{3 x} - 7 x)

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to 0 + lim (\frac{x}{3 x}) - x \to 0 + lim (7 x)

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

x \to 0 + lim (7 x) = 0

= \frac{1}{3} - 0

Simplify

= \frac{1}{3}

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What is the limit as x approaches 0+of x/(3x)-7x ?
The limit as x approaches 0+of x/(3x)-7x is 1/3