8 Definition Let f be a function defined on some interval (-oo, a). Then lim f(x) = L X-00 means that for every & > 0 there is a corresponding number / such that if x N then f(x) > M73. For the limit 1 - 3x lim = 3 Vx2 + 1 illustrate Definition 8 by finding values of / that correspond to 8 = 0.1 and & = 0.05. 74. For the limit lim Vx In x = 00 illustrate Definition 9 by finding a value of / that corre- sponds to M = 100<>