[ (X^3) - (2X^2) + 5X - 10 ] / [ (X^4) - (13X^2) }
I am suppose to find the limit as X approches 2.
2007-01-20 11:30:41 · 4 answers · asked by A.A. 2 in Science & Mathematics ➔ Mathematics
I know that when we sub 2 into the limit it yeilds 0/0. However, that is an undefined answer and I am suppose to find a way to make defined.
2007-01-20 12:26:19 · update #1
I haven't been taught any other rules....
2007-01-20 12:27:25 · update #2
Dear
Do not forget this golden rule,
Try first to Substitute the value of x if undefined value like 0/0 or 0*infinity you should apply the other rules of limite
2007-01-20 12:03:13 · answer #1 · answered by Mohamed K 2 · 0⤊ 0⤋
Let [ (x^3-2x^2+5x-10)]/[x^4-13x^2] = f(x)
Subbing in x=2
(8-8+10-10)/(no-one cares) = 0
therefore as
x----> 2
f(x) ----> 0
2007-01-20 19:35:56 · answer #2 · answered by SS4 7 · 0⤊ 0⤋
0
as denominator goes to -36 (not 0) as x goes to 2
2007-01-20 19:34:06 · answer #3 · answered by Anonymous · 0⤊ 0⤋
[x^2(x-2)+5(x-2)]
= -----------------------
(x^4-13x^2)
(x-2)(x^2+5)
= ---------------------
same as above
when x-->2
(2-2=0)(4+5)
= ----------------------
same as above
final answer= 0
2007-01-20 19:47:10 · answer #4 · answered by knp_1984 2 · 0⤊ 0⤋