find the limit of (t^(2)+2)/(t^(3)+t^(2)-1) as t approaches negative infinity.
and find the limit of (x+2)/(sqrt(9x^(2)+1)) as x approaches positive infinity.
2006-09-08 13:49:15 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
To find the limit when t tends to infinity you may use the rule:
consider only the terms of great degree.
a) lim t^2/t^3 = lim 1/t = 0
b) lim x/sqrt(9x^2) = lim x/abs(3x) = 1/3 if x tends to +infinity
and -1/3 if x tends to -infinity.
2006-09-08 14:58:32 · answer #1 · answered by vahucel 6 · 0⤊ 0⤋
Answer 1: 0
Answer 2: 1/3
2006-09-08 21:46:42 · answer #2 · answered by brenuart 1 · 0⤊ 0⤋
http://www.cbu.edu/~wschrein/media/yws/w13-1e3.pdf#search='%28t%5E%282%292%29%2F%28t%5E%283%29t%5E%282%291%29'
2006-09-08 20:55:28 · answer #3 · answered by Anonymous · 0⤊ 0⤋
damn!
do you god damn homework!
2006-09-08 21:15:04 · answer #4 · answered by Travis 4 · 0⤊ 1⤋