What is the limit as x approaches 3 of (5-2x)/(x-3) ?

The limit as x approaches 3 of (5-2x)/(x-3) is diverges

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limit as x approaches 3 of (5-2x)/(x-3)

x \to 3 lim (\frac{5 - 2 x}{x - 3})

diverges

Solution steps

x \to 3 lim (\frac{5 - 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{5 - 2 x}{x - 3}) = - \infty

x \to 3 - lim (\frac{5 - 2 x}{x - 3}) = \infty

= diverges

x \to 7 - lim (\frac{x - x}{x - 7})

x \to 5 lim (2 x^{2} - 1)

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

t \to 1 lim (\frac{t - 1}{t ^{3} - 1})

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

What is the limit as x approaches 3 of (5-2x)/(x-3) ?
The limit as x approaches 3 of (5-2x)/(x-3) is diverges