Find Infinite limit (Rational Function)
Find Infinite limit (Rational Function)
Given:
It is known that
Then above can be written as
Plug Limits
Hence,
Involve rational functions that model the given situations. In each case, find the horizontal asymptote as
The process by which we determine limits of rational functions applies equally well to ratios containing noninteger or negative powers of x: Divide numerator and denominator by the highest power of x in the denominator and proceed from there. Find the limits.