What is the limit as x approaches 3 of (4x-4)/(x-3) ?

The limit as x approaches 3 of (4x-4)/(x-3) is diverges

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limit as x approaches 3 of (4x-4)/(x-3)

x \to 3 lim (\frac{4 x - 4}{x - 3})

diverges

Solution steps

x \to 3 lim (\frac{4 x - 4}{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{4 x - 4}{x - 3}) = \infty

x \to 3 - lim (\frac{4 x - 4}{x - 3}) = - \infty

= diverges

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

x \to 0 lim (7 x csc (8 x))

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

x \to 0 lim (sin (4 x) ln (x))

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

What is the limit as x approaches 3 of (4x-4)/(x-3) ?
The limit as x approaches 3 of (4x-4)/(x-3) is diverges