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

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

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

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

diverges

Solution steps

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

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

= diverges

e^{x^{2}}

\int 2 sin (5 x) d x

e^{t} cos (5 t)

2 x (x + 1)^{3} (x^{2} + 2 x + 1)^{2}

(1 + x^{2})^{\frac{3}{2}} x

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