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

\int \frac{1}{1 - ( - x )} d x

x d y - y d x = x \cdot tan (\frac{y}{x}) d x

\frac{d}{d x} (x^{6})

5 y^{^{''}} + y^{^{'}} = - 2 x, y (0) = 0, y^{^{'}} (0) = - 15

\frac{d}{d x} (\frac{1}{e ^{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