What is the limit as x approaches 1 of (3x)/(x-1) ?

The limit as x approaches 1 of (3x)/(x-1) is diverges

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limit as x approaches 1 of (3x)/(x-1)

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 1 + lim (\frac{3 x}{x - 1}) = \infty

x \to 1 - lim (\frac{3 x}{x - 1}) = - \infty

= diverges

x \to \frac{1}{5} lim (2 + (5 x - 1))

x \to \infty lim (\frac{30}{x})

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

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

x \to 0 lim (6 sin (x))

What is the limit as x approaches 1 of (3x)/(x-1) ?
The limit as x approaches 1 of (3x)/(x-1) is diverges