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

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

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

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

diverges

Solution steps

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

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

= diverges

y = cos (x), y = 0.5, 0 \leq x \leq π

1296 y^{^{''}} + 1368 y^{^{'}} + 361 y = 0

x \frac{d y}{d x} = y + (x^{2} - 2)^{2}

\int sin^{2} (π x) cos^{5} (π x) d x

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