Recall that we first must identify the essential degree of the denominator, say r, and then divide every term in the numerator and denominator by x^r. [We’re really multiplying the expression by 1 by multiplying both numerator and denominator by . We then reduce the resulting individual fractions as much as we can. We then analyze what happens to the remaining components as x →∞.

See the other full example on the analysis page.

Return to the Limits at Infinity page.