What is the limit as x approaches 3 of 1/(x-3)+2 ?

The limit as x approaches 3 of 1/(x-3)+2 is diverges

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limit as x approaches 3 of 1/(x-3)+2

x \to 3 lim (\frac{1}{x - 3} + 2)

diverges

Solution steps

x \to 3 lim (\frac{1}{x - 3} + 2)

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 3 + lim (\frac{1}{x - 3} + 2) = \infty

x \to 3 - lim (\frac{1}{x - 3} + 2) = - \infty

= diverges

4 t \frac{d y}{d t} + y = t^{2}

f (x) = 72 x^{3} (3 x^{4} + 7)^{5}

\frac{d y}{d x} = \frac{y}{2 x}

f (x) = \frac{x}{4 x + 5}

n = 1 \sum \infty \frac{8}{n ^{3}}

What is the limit as x approaches 3 of 1/(x-3)+2 ?
The limit as x approaches 3 of 1/(x-3)+2 is diverges