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})

Cancel the common factor:

x

= x \to 0 lim (5)

x \to a lim c = c

= 5

\int - 4 sin^{3} (x) d x

\int y^{\frac{5}{2}} d y

\int x x^{2} d x

x \to 2 lim (2 x^{2} + 5 x + 3)

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