What is the limit as x approaches 8 of 2/(x-8) ?

The limit as x approaches 8 of 2/(x-8) is diverges

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limit as x approaches 8 of 2/(x-8)

x \to 8 lim (\frac{2}{x - 8})

diverges

Solution steps

x \to 8 lim (\frac{2}{x - 8})

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

then the limit does not exist

x \to 8 + lim (\frac{2}{x - 8}) = \infty

x \to 8 - lim (\frac{2}{x - 8}) = - \infty

= diverges

x \to 0 + lim ((5 x)^{6 x})

x \to 5 lim (\frac{5 x}{5 - x})

x \to 0 + lim (x^{12 x})

x \to π lim (tan (\frac{3 x}{4}))

x \to \infty lim (- \frac{x}{4})

What is the limit as x approaches 8 of 2/(x-8) ?
The limit as x approaches 8 of 2/(x-8) is diverges