Math. question 1?

3 ⤊

lim (x^2-4)/(x+2)
x->-2

2007-08-28 19:25:20 · 2 answers · asked by ppp 1 in Science & Mathematics ➔ Mathematics

lim (x^2-4)/ (x+2)
x-> -2

= lim (x+2) (x-2) / (x+2)
x ->-2

= lim (x-2)
x -> -2

= (-2-2)

= -4

2007-08-28 19:52:10 · answer #1 · answered by gab BB 6 · 2⤊ 0⤋

factor the top:

x^2 - 4 = (x - 2)(x + 2)

lim(x^2 - 4)/(x + 2) = lim(x - 2)(x + 2)/(x + 2) = lim(x - 2)
so lim(x-2) as x->-2 is -4

2007-08-28 19:40:44 · answer #2 · answered by Captain Mephisto 7 · 1⤊ 0⤋