What is the limit as x approaches 3 of 6/(x-3) ?

The limit as x approaches 3 of 6/(x-3) is diverges

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limit as x approaches 3 of 6/(x-3)

x \to 3 lim (\frac{6}{x - 3})

diverges

Solution steps

x \to 3 lim (\frac{6}{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{6}{x - 3}) = \infty

x \to 3 - lim (\frac{6}{x - 3}) = - \infty

= diverges

2 x - 3

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

\frac{d y}{d x} + y = x y^{8}

f (x) = 5 x + 2

2 (x^{2} + y^{2}) d x + 7 x y d y = 0

What is the limit as x approaches 3 of 6/(x-3) ?
The limit as x approaches 3 of 6/(x-3) is diverges