What is the limit as x approaches 0 of (3x)/(2x) ?

The limit as x approaches 0 of (3x)/(2x) is 3/2

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limit as x approaches 0 of (3x)/(2x)

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

\frac{3}{2}

Decimal

1.5

Solution steps

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

Cancel the common factor:

x

= x \to 0 lim (\frac{3}{2})

x \to a lim c = c

= \frac{3}{2}

x \to 0 - lim (x e^{x})

x \to 2 lim (e^{\frac{x}{x - 2}})

x \to 0 lim (\frac{1 - e ^{x}}{3 x})

x \to 0 lim (2 sin (\frac{1}{x}))

x \to 0 lim (+ (1 + x)^{\frac{4}{x}})

What is the limit as x approaches 0 of (3x)/(2x) ?
The limit as x approaches 0 of (3x)/(2x) is 3/2