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

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

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

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

diverges

Solution steps

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

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

= diverges

n \to 1 lim (ln (n))

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

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

x \to 3 lim (4)

x \to \frac{11 π}{6} lim (cos (x))

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