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

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

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

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

diverges

Solution steps

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

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

= diverges

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

x \to 0 + lim \frac{( 1 - 1 0 ^{- x^{2}} )}{x ^{2} ln ( 10 )}

x \to 0 lim (\frac{x}{tan ( 4 x )})

x \to 0 lim (\frac{2 x ^{2}}{3 - 3 cos ( x )})

x \to 1 lim (\frac{1}{5 - x})

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