Question

How do you find the horizontal asymtote for f(x)=2x^2/x^2+2 ?

Answer 1

there are 3 conditions for horizontal asymptotes ; 0, L, or undefined

Answer 2

If the bottom is a larger degree than the top; then for large values of x we get a 1/BIG setup which tends to zero

If the top is a larger degree than the bottom we get a BIG/1 effect and it goes trailing off into infinity and is undefined

Answer 3

The third situation is when the top and bottom have the same degree; the x parts keep canceling each other out and noone wins, so we are left with whatever the leading coeefs are

Answer 4

can you tell me which situation your problem filts?