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

\int \frac{3}{4 ( 4 - 3 x ) ^{7}} d x

4 y^{^{''}} + 9 y = 0

\int \frac{4 x ^{3}}{x ^{4} + 7} d x

f (x) = 2 x^{2} + 5 x

\int 2 t d t

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