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

Question

amistre64 · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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

amistre64 · Answer

can you tell me which situation your problem filts?