What is the limit as x approaches 1 of (2x+4)/(x-1) ?

The limit as x approaches 1 of (2x+4)/(x-1) is diverges

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limit as x approaches 1 of (2x+4)/(x-1)

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

diverges

Solution steps

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

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

then the limit does not exist

x \to 1 + lim (\frac{2 x + 4}{x - 1}) = \infty

x \to 1 - lim (\frac{2 x + 4}{x - 1}) = - \infty

= diverges

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

x \to 1 lim (1 - 2 x)

x \to a lim (6 x^{2} - 3 x + 2)

x \to 0 lim (3 x + 1 - 1)

x \to 3 lim (3 x - 2)

What is the limit as x approaches 1 of (2x+4)/(x-1) ?
The limit as x approaches 1 of (2x+4)/(x-1) is diverges