What is the limit as x approaches 6 of (x^6)/((x-6)) ?

The limit as x approaches 6 of (x^6)/((x-6)) is diverges

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limit as x approaches 6 of (x^6)/((x-6))

x \to 6 lim (\frac{x ^{6}}{( x - 6 )})

diverges

Solution steps

x \to 6 lim (\frac{x ^{6}}{x - 6})

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

then the limit does not exist

x \to 6 + lim (\frac{x ^{6}}{x - 6}) = \infty

x \to 6 - lim (\frac{x ^{6}}{x - 6}) = - \infty

= diverges

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What is the limit as x approaches 6 of (x^6)/((x-6)) ?
The limit as x approaches 6 of (x^6)/((x-6)) is diverges