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

f (x) = 9 x^{5} (x^{3} - 2 x)

y^{^{''}} - 2 y^{^{'}} - 63 y = 0

n = 1 \sum \infty \frac{1}{n ^{- 1}}

\frac{d ^{2} y}{d ^{2} x} + \frac{4 d y}{d x} + 3 y = 0

x \to 0 lim (\frac{x}{x ^{2} - 4})

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