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

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

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

x \to 1 lim (\frac{π}{x - 1})

diverges

Solution steps

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

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

= diverges

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

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

t \to 0 lim (\frac{sin ( t ^{2} )}{t})

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

x \to + 0 lim (sin (5 x) csc (3 x))

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