What is the limit as x approaches 3 of (5x)/(x-3) ?

The limit as x approaches 3 of (5x)/(x-3) is diverges

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limit as x approaches 3 of (5x)/(x-3)

x \to 3 lim (\frac{5 x}{x - 3})

diverges

Solution steps

x \to 3 lim (\frac{5 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{5 x}{x - 3}) = \infty

x \to 3 - lim (\frac{5 x}{x - 3}) = - \infty

= diverges

\frac{d}{d x} (ln (\frac{3 x}{2 x + 1}))

\int \frac{1}{( x + 2 ) ( x + 7 ) ( 2 x - 5 ) ( x + 1 ) ^{2}} d x

y = x e^{- 0.4 x}, x = 5, y = 0

\frac{d}{d x} (2 + sin (x))

x \to 5 + lim (\frac{x - 5}{x - 5})

What is the limit as x approaches 3 of (5x)/(x-3) ?
The limit as x approaches 3 of (5x)/(x-3) is diverges