What is the limit as x approaches-6 of 4/(x+6) ?

The limit as x approaches-6 of 4/(x+6) is diverges

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limit as x approaches-6 of 4/(x+6)

x \to - 6 lim (\frac{4}{x + 6})

diverges

Solution steps

x \to - 6 lim (\frac{4}{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{4}{x + 6}) = \infty

x \to - 6 - lim (\frac{4}{x + 6}) = - \infty

= diverges

x \to 2 lim (x^{2} - 2 x + 2)

x \to \frac{π}{6} lim (2^{s i n (x)})

x \to π - lim (tan (x))

x \to - 4 lim (x^{2} + 8 x + 11)

x \to 0 lim (\frac{x - 4}{x ^{2}})

What is the limit as x approaches-6 of 4/(x+6) ?
The limit as x approaches-6 of 4/(x+6) is diverges