Question

lim x-> infiniti x^2/(2-x^2)

Answer 1

since you have a polynomial over a polynomial and x goes to infinity
then we will have three cases:

Case 1:
if the degree on top is the same as the degree on bottom, then the limit will be coefficient of the term with highest exponent on top divided by the coefficient of the term with the highest exponent on bottom.

Case 2:
if the degree on top is higher than the degree on bottom, the the limit does not exist (you may be able to say infinity or negative infinity if both sides approach the same infinity)

Case 3:
If the degree on bottom is higher than the degree on top, then the limit is 0.

Answer 2

which case do you have?

Answer 3

If it helps you expand (2-x)^2 by looking at multiply (2-x)(2-x)

Answer 4

@myininaya
How would that work by expanding....or can I divide the top and bottom by x^2?