Let and be 2 polynomials with same degree, n, and same leading coefficient c, with (otherwise the degree is less than n):
Let . In this note I try to find the value of .
Let , and . Later, we'll see that both the value of and won't affect the value of the limit. We have:
Since and both have leading coefficient c, then:
and we're done. We've found the value of . Take quite long, around 1 hour.