Limits Help!?

0 ⤊

An answer on my assignment has really stumped me,

4. Given f(x) =

x^2 - 4
-----------
x - 2

find:

lim f(x)
x-->2

2007-05-03 00:17:55 · 2 answers · asked by Jayden O 1 in Science & Mathematics ➔ Mathematics

2 answers

First, we factor the numerator:

[x→2]lim (x-2)(x+2)/(x-2)

Now, one of the factors cancels:

[x→2]lim (x+2)

And this may be evaluated directly as:

4

2007-05-03 00:22:06 · answer #1 · answered by Pascal 7 · 0⤊ 0⤋

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

2007-05-03 07:59:33 · answer #2 · answered by shiva 3 · 0⤊ 0⤋