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

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

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

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

diverges

Solution steps

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

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

= diverges

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x \to + (- 3) + lim (8 x + 5)

f (x) = x^{l n (x)}

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