1. if the highest degree (highest exponent) in the numerator is bigger than that of the denominator, then there won't be any horizontal asymptote.
2. if the highest degree in the denominator is bigger, then the horizontal symptote would be y = 0.
3. if they have the same highest degree, then we just get the quotient of their coefficient.
Now, going back to our function, we have
From this we can see that the highest degree in the numerator is 1 (from 2x) and 2 (from x²) for the denominator. Clearly, it shows that its denominator has a higher degree. And from our discussion, we can conclude that the horizontal asymptote would be y = 0.
y = 0
Answer with explanation:
The function is
→Horizontal asymptote can be calculated as:
In Second step dividing numerator and denominator by ,x.
→y=0, is the horizontal asymptote.
1) if n = m , then the horizontal equation is y = a/b
2) if n>m, then there is no horizontal equation
3) if n<m, then the horizontal equation is the x axis ; y = 0.
The function given falls on the third rule hence the horizontal asymptote of the function is at y = 0.
The answer is y=0
n= 0.0000 - 0.3750 i
n= 0.0000 + 0.3750 i
one of these should be correct