What is the limit as x approaches 0 of (5x)/(3x) ?

The limit as x approaches 0 of (5x)/(3x) is 5/3

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limit as x approaches 0 of (5x)/(3x)

x \to 0 lim (\frac{5 x}{3 x})

\frac{5}{3}

Decimal

1.66666 \dots

Solution steps

x \to 0 lim (\frac{5 x}{3 x})

Cancel the common factor:

x

= x \to 0 lim (\frac{5}{3})

x \to a lim c = c

= \frac{5}{3}

x \to 0 lim ((x + 3) (x^{2} - 4))

x \to 0 lim (csc (3 x))

x \to 15 lim (\frac{1}{x - 15})

x \to 0 lim (\frac{sin ^{2} ( 3 x )}{sin ^{2} ( 5 x )})

x \to 0 lim (x^{4} + 3 x^{3} - x)

What is the limit as x approaches 0 of (5x)/(3x) ?
The limit as x approaches 0 of (5x)/(3x) is 5/3