What is the limit as x approaches 3 of 4/(x-3) ?

The limit as x approaches 3 of 4/(x-3) is diverges

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limit as x approaches 3 of 4/(x-3)

x \to 3 lim (\frac{4}{x - 3})

diverges

Solution steps

x \to 3 lim (\frac{4}{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{4}{x - 3}) = \infty

x \to 3 - lim (\frac{4}{x - 3}) = - \infty

= diverges

f (x) = 3 (x - 2)^{2}

x y^{^{'}} + y = x^{4} y^{4}, y (1) = \frac{1}{2}

y = e^{- m x}

3 sin (2 x)

\int \frac{x}{x + 2} d x

What is the limit as x approaches 3 of 4/(x-3) ?
The limit as x approaches 3 of 4/(x-3) is diverges