I have a couple of questions on limits?
One questiona sks:
Lim (x--> infinity) (5x^3 +27)/ (20x^2 +10x +9)
Do I just take the highest powers: 5x^3/20x^2 and get the limit from there? I thought that if the power in the numerator is larger than the denominator, there is no limit...
another question asks:
(lim x-->2) (x^3 - 8) / (x^2 - 4)
How do I do that one? Do I just substitute?
Thanks!
2007-11-26 04:55:35 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
1) The limit is called infinity
2) = (x-2)(x^2+2x+4)/(x-2)(x+2) =simplifying (x^2+2x+4)/(x+2)==>
3
You cant substitute as the denominator is 0
2007-11-26 05:08:46 · answer #1 · answered by santmann2002 7 · 1⤊ 0⤋
You are assuming correct. Maybe you are supposed to prove it in this particular case? Divide the expression with appropriate factor.
2007-11-26 13:03:22 · answer #2 · answered by Anonymous · 0⤊ 0⤋