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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

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

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

x \to - \infty lim (16 x^{3})

x \to 2 lim (5 x - x^{2})

t \to 0 lim (\frac{2}{t} - \frac{1}{e ^{t} - 1})

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