What is the limit as x approaches pi of 8e^{(cos(x))/(x-pi)} ?

The limit as x approaches pi of 8e^{(cos(x))/(x-pi)} is diverges

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limit as x approaches pi of 8e^{(cos(x))/(x-pi)}

x \to π lim (8 e^{\frac{c o s ( x )}{x - π}})

diverges

Solution steps

x \to π lim (8 e^{\frac{c o s ( x )}{x - π}})

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

then the limit does not exist

x \to π + lim (8 e^{\frac{c o s ( x )}{x - π}}) = 0

x \to π - lim (8 e^{\frac{c o s ( x )}{x - π}}) = \infty

= diverges

x \to 0 lim (\frac{e ^{x}}{x ^{5}})

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

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

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

x \to \infty lim (e^{- x} sin (e^{x}))

What is the limit as x approaches pi of 8e^{(cos(x))/(x-pi)} ?
The limit as x approaches pi of 8e^{(cos(x))/(x-pi)} is diverges