What is the limit as x approaches 2 of 4/((x-2)^5) ?

The limit as x approaches 2 of 4/((x-2)^5) is diverges

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limit as x approaches 2 of 4/((x-2)^5)

x \to 2 lim (\frac{4}{( x - 2 ) ^{5}})

diverges

Solution steps

x \to 2 lim (\frac{4}{( x - 2 ) ^{5}})

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

then the limit does not exist

x \to 2 + lim (\frac{4}{( x - 2 ) ^{5}}) = \infty

x \to 2 - lim (\frac{4}{( x - 2 ) ^{5}}) = - \infty

= diverges

f (x) = x + e^{x} - \frac{1}{x}, at x = 1

\int - \frac{2 x}{x ^{4} - 1} d x

x \to \frac{π}{3} lim (cos (x))

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

\int 12 x^{2} (2 x^{3} + 3)^{7} d x

What is the limit as x approaches 2 of 4/((x-2)^5) ?
The limit as x approaches 2 of 4/((x-2)^5) is diverges