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

x \to 9 + lim (\frac{x - 9}{∣ x - 9 ∣})

y^{^{''}} + 6 y^{^{'}} + 9 y = 12 e^{- x}

\frac{d}{d x} (cos (\frac{1 - e ^{8 x}}{1 + e ^{8 x}}))

\int \frac{z}{1 0 ^{z}} d z

\frac{d}{d x} (\frac{x ^{s i n (x)}}{cos ( 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