Does this work for all functions? and limits?
Dividing the coefficient of x to the highest power (if the power is the same for both the numerator and denominator) gives the horizontal asymptote
When the power of x is greater in the denominator than in the numerator --> y=0
e.g. x^2+1/2x^2-1 = 1/2
therefore, y=1/2 is the horizontal asymptote
I want to confirm that this works for all functions and also limits (x --> ∞) just in case because i havent seen it in the cambridge textbook
thanks so much![Smile :) :)](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
Dividing the coefficient of x to the highest power (if the power is the same for both the numerator and denominator) gives the horizontal asymptote
When the power of x is greater in the denominator than in the numerator --> y=0
e.g. x^2+1/2x^2-1 = 1/2
therefore, y=1/2 is the horizontal asymptote
I want to confirm that this works for all functions and also limits (x --> ∞) just in case because i havent seen it in the cambridge textbook
thanks so much