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

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

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

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

4

Solution steps

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

Simplify

\frac{4 - x ^{2}}{2 + x} : - x + 2

= x \to - 2 lim (- x + 2)

Plug in the value

x = - 2

= - (- 2) + 2

Simplify

= 4

f (x) = 2 e^{x} + \frac{8}{3 x}

\int e^{y^{88}} d y

f (x) = 4 x^{3} - 7 x^{2} - 15 x + 10

y = 7 x - 4 x, (1, 3)

(\frac{y}{x} + 5 x) d x + (ln (x) - 2) d y = 0

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