What is the limit as x approaches 1 of (3x^2)/(x-1) ?

The limit as x approaches 1 of (3x^2)/(x-1) is diverges

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limit as x approaches 1 of (3x^2)/(x-1)

x \to 1 lim (\frac{3 x ^{2}}{x - 1})

diverges

Solution steps

x \to 1 lim (\frac{3 x ^{2}}{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 ^{2}}{x - 1}) = \infty

x \to 1 - lim (\frac{3 x ^{2}}{x - 1}) = - \infty

= diverges

x \to \frac{1}{2} lim (x^{2} - 2 x + 3)

x \to 0 lim (ln (x) \cdot sin (x))

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

x \to 1 lim (- 3)

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

What is the limit as x approaches 1 of (3x^2)/(x-1) ?
The limit as x approaches 1 of (3x^2)/(x-1) is diverges