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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 0 lim (\frac{1}{4})

x \to 0 lim (\frac{1}{- x})

x \to \frac{π}{2} lim (7 cos (- 5 x) sec (- 7 x))

x \to \infty lim (\frac{( 10 - 6 x ^{2} )}{5 + 3 e ^{x}})

x \to 0 lim (\frac{arccot ( x )}{x})

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