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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

\int \frac{z}{z - 1} d z

\int \frac{2}{x ^{2} - x} d x

\frac{d v}{d t}

(x + y)^{2} d x + (2 x y + x^{2} - 3) d y = 0

\frac{\partial}{\partial x} ((e^{x})^{2})

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