Suppose you were given a complex function: e.g:
(2x^3+10x^2+12x)/(x^3+2x^2)
Now if you were supposed to determine the limit as x approaches + infinity or
when x approaches V.A. 3
How would you do this without graphing aid? Its hard to imagine a rational graph with complex roots in your head.
(2x^3+10x^2+12x)/(x^3+2x^2)
Now if you were supposed to determine the limit as x approaches + infinity or
when x approaches V.A. 3
How would you do this without graphing aid? Its hard to imagine a rational graph with complex roots in your head.
-
given P(x) / Q(x) and x ---> ± ∞ it is easy to show the answers are
1) infinity if deg P > deg Q
2) ratio of coefficients of greatest powers if deg P = deg Q
3) 0 if deg P < deg Q
thus in this problem it is 2 / 1 { as typed ]
1) infinity if deg P > deg Q
2) ratio of coefficients of greatest powers if deg P = deg Q
3) 0 if deg P < deg Q
thus in this problem it is 2 / 1 { as typed ]