What is the limit as x approaches-3 of (x+5)/(x^2-9) ?

The limit as x approaches-3 of (x+5)/(x^2-9) is diverges

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limit as x approaches-3 of (x+5)/(x^2-9)

x \to - 3 lim (\frac{x + 5}{x ^{2} - 9})

diverges

Solution steps

x \to - 3 lim (\frac{x + 5}{x ^{2} - 9})

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

then the limit does not exist

x \to - 3 + lim (\frac{x + 5}{x ^{2} - 9}) = - \infty

x \to - 3 - lim (\frac{x + 5}{x ^{2} - 9}) = \infty

= diverges

x \to 1 lim (arctan (x - 1))

x \to 0 lim (ln (5 x^{2}))

x \to 0 lim (x^{2} csc^{2} (3 x))

z \to \infty lim (\frac{( a z + b ) ^{3}}{( cz + d ) ^{3}})

x \to 3 lim (4^{x})

What is the limit as x approaches-3 of (x+5)/(x^2-9) ?
The limit as x approaches-3 of (x+5)/(x^2-9) is diverges