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

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

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

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

3

Solution steps

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

Cancel the common factor:

x

= x \to 0 lim (3)

x \to a lim c = c

= 3

f (x) = \frac{2}{x}, (- 6, - \frac{1}{3})

\frac{d y}{d x} = 4 y^{3}

(2 x y + y) d x + (x^{2} - x) d y = 0

\frac{d y}{d x} - \frac{y}{x} = x^{2}

x \to 0 + lim (12 cos (12 x))

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