What is the limit as x approaches 0-of |(5x)/x | ?

The limit as x approaches 0-of |(5x)/x | is 5

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limit as x approaches 0-of |(5x)/x |

x \to 0 - lim (\frac{5 x}{x})

5

Solution steps

x \to 0 - lim (\frac{5 x}{x})

\frac{5 x}{x}

is positive when

x \to 0 -

. Therefore

\frac{5 x}{x} = \frac{5 x}{x}

= x \to 0 - lim (\frac{5 x}{x})

Cancel the common factor:

x

= x \to 0 - lim (5)

x \to a lim c = c

= 5

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What is the limit as x approaches 0-of |(5x)/x | ?
The limit as x approaches 0-of |(5x)/x | is 5