What is the limit as x approaches-2 of-1/(x+2) ?

The limit as x approaches-2 of-1/(x+2) is diverges

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limit as x approaches-2 of-1/(x+2)

x \to - 2 lim (- \frac{1}{x + 2})

diverges

Solution steps

x \to - 2 lim (- \frac{1}{x + 2})

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

then the limit does not exist

x \to - 2 + lim (- \frac{1}{x + 2}) = - \infty

x \to - 2 - lim (- \frac{1}{x + 2}) = \infty

= diverges

x \to 2 - lim (- \frac{1}{( x - 2 ) ^{2}})

x \to 0 lim (tan (x) csc (x))

x \to 2 lim (ln (x - 2) + \frac{π}{2})

x \to 4 + lim (4 - x)

x \to - 1 - lim (\frac{3 x - 5}{2 x - 2})

What is the limit as x approaches-2 of-1/(x+2) ?
The limit as x approaches-2 of-1/(x+2) is diverges