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

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

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

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

diverges

Solution steps

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

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}{π ^{x} - \frac{1}{π}}) = \infty

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

= diverges

x \to 2 lim (30 x)

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

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

x \to 0 lim (\frac{x ^{n}}{e ^{x}})

x \to 1 lim ((x + 2) (x - 2))

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