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

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

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

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

diverges

Solution steps

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

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

= diverges

y = (x^{2} + 4 x - 3)^{4}

\int \frac{e ^{2 y}}{e ^{y} - 1} d y

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

\int t cos^{5} (t^{2}) d t

y = 1 + 2 e^{8 x}

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