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

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

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

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

diverges

Solution steps

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

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} - 2}{3 - x}) = - \infty

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

= diverges

\int sin (x + 1) d x

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\frac{d}{d x} (\frac{2}{1 + x})

\frac{d y}{d x} = \frac{4 x ^{3} + y ^{3}}{x y ^{2}}

\int_{x}^{1} 2 (x + y) d y

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