What is the limit as x approaches-3 of (4-x^2)/(x+3) ?

The limit as x approaches-3 of (4-x^2)/(x+3) is diverges

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limit as x approaches-3 of (4-x^2)/(x+3)

x \to - 3 lim (\frac{4 - x ^{2}}{x + 3})

diverges

Solution steps

x \to - 3 lim (\frac{4 - x ^{2}}{x + 3})

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

then the limit does not exist

x \to - 3 + lim (\frac{4 - x ^{2}}{x + 3}) = - \infty

x \to - 3 - lim (\frac{4 - x ^{2}}{x + 3}) = \infty

= diverges

θ \to π lim (θ sec (θ))

x \to 0 lim (\frac{x + sin ( 2 x )}{x})

x \to 0 lim (\frac{2}{x} - \frac{1}{e ^{x} - 1})

x \to 0 + lim ((x)^{s i n (x)})

x \to 3 lim (45)

What is the limit as x approaches-3 of (4-x^2)/(x+3) ?
The limit as x approaches-3 of (4-x^2)/(x+3) is diverges