What is the limit as x approaches 4 of (3x-1)/(x-4) ?

The limit as x approaches 4 of (3x-1)/(x-4) is diverges

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limit as x approaches 4 of (3x-1)/(x-4)

x \to 4 lim (\frac{3 x - 1}{x - 4})

diverges

Solution steps

x \to 4 lim (\frac{3 x - 1}{x - 4})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 4 + lim (\frac{3 x - 1}{x - 4}) = \infty

x \to 4 - lim (\frac{3 x - 1}{x - 4}) = - \infty

= diverges

x \to 2 lim (3 x^{2} + 5)

x \to \frac{2 π}{3} lim (sin (x))

x \to 0 + lim ((e^{x} + 10)^{5 x})

x \to 4 lim (2 x + 5)

x \to 4 lim (\frac{1}{16 - x ^{2}})

What is the limit as x approaches 4 of (3x-1)/(x-4) ?
The limit as x approaches 4 of (3x-1)/(x-4) is diverges