MATH 140 Lecture Notes - Lecture 10: Rational Number, Indeterminate Form, Asymptote

• School: McGill University
• Department: Mathematics & Statistics (Sci)
• Course: MATH 140
• Professor: Ewa Duma

Document Summary

In sections 2. 2 and 2. 4 we investigated in nite limits and vertical asymptotes. There we let approach a number and the result was that the values of became arbitrarily large (positive or negative). In this section we let become arbitrarily large (positive or nega- tive) and see what happens to . y. Let"s begin by investigating the behavior of the function de ned by f. Math140 - lecture 10 notes f x y x 2 1 x 2 1 y= is often read as. Again, the symbol does not represent a number, but the expression as becomes large. The table at the left gives values of this function correct to six decimal places, and the graph of has been drawn by a computer in figure 1. x. , as x approaches negative in nity, is l . Notice that the graph approaches the line we look to the far left of each graph. y y=l y=1.