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

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

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

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

diverges

Solution steps

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

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

= diverges

\frac{\partial}{\partial y} (\frac{y}{1 + x ^{2} + y ^{2}})

\frac{d}{d x} (e^{x} + x - \frac{3}{2} e^{2 x} + e^{2 x} x)

\int cot (\frac{x}{7}) d x

\frac{d}{d x} (2 x - 4)

2^{2^{n}}

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