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

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

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

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

diverges

Solution steps

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

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

= diverges

f (x) = 2 x + 1

\frac{d y}{d x} - y = e^{3 x}

y = x^{3} - 3 x + 2, (3, 20)

\int \frac{x - 1}{x ^{2} - 9} d x

\int_{0}^{2} \frac{3}{x ^{2}} d x

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