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

\int \frac{1}{( x ^{2} - 4 x ) ^{\frac{3}{2}}} d x

\int (\frac{sin ( 31 x )}{1 + cos ^{2} ( 31 x )}) d x

d er i v a t i v e e^{t + 7}

x \to - 7 + lim (\frac{- 6 x}{x + 7})

d er i v a t i v e f (θ) = 3 θ

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