Is the limit actually:
?
If so, you might just observe that the limit is zero since the degree in the denominator is greater than that of the numerator.
Hi there,
just pondering this equation: lim (3x^3(-6x^2)+5x+35)/((x^4)-5x^3-27) when x->∞
what is the best way to figure this out? I tried to divide everything by the highest factor I would find in the denominator, like my textbook said, but that just got messy and confusing. Any ideas?
Also a good thing to remember when solving limits that tend to infinity is that you can take the highest power in the numerator over the highest power in the denominator and calculate the limit of that. In your case it would be 3x^3/x^4 which would simplify to 3/x and the limit of 3/x as x tends to -infinity is obviously 0.