Multiplying

For instance, in the problem below, the degree of the denominator is 2, so multiplying by

12 x1-- which is really ‘1’ x2

is tantamount to dividing each term in the numerator and denominator by x²:

2 1---2x2-+-x 1--2x2-+-x- x12- x12---2xx2-+-xx2- lxim→∞ x2 - 4 = lxi→m∞ x2 - 4 ⋅-1 = xli→m∞ x2- 4- x2 x2 x2

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