What is the limit as x approaches-4 of 1/(x+4) ?

The limit as x approaches-4 of 1/(x+4) is diverges

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limit as x approaches-4 of 1/(x+4)

x \to - 4 lim (\frac{1}{x + 4})

diverges

Solution steps

x \to - 4 lim (\frac{1}{x + 4})

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

then the limit does not exist

x \to - 4 + lim (\frac{1}{x + 4}) = \infty

x \to - 4 - lim (\frac{1}{x + 4}) = - \infty

= diverges

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What is the limit as x approaches-4 of 1/(x+4) ?
The limit as x approaches-4 of 1/(x+4) is diverges