M Inbox (66) - luketry@gmail.com - x VA Sec 2.3 The Limit Laws - MATH 1( X ) New Tab X + X C A webassign.net/web/Student/Assignment-Responses/last?dep=28194853 lim - 9x- - 64x - 64 2x2 - 128 Step 1 of 4 lim f(x) Recall the Quotient Law for evaluating limits given that lim f(x) and lim g(x) exist. If lim g(x) = 0, then lim _ exists and lim _() X - c x-c g(x) x-c g(x) lim g(x) For the given rational function, evaluate the limit of the numerator and of the denominator as x approaches 8. lim (9x2 - 64x - 64) = 0 lim (2x2 - 128) = 0 0 The Quotient Law does not does not apply. We say that f(x) is indeterminate indeterminate at x = 8. Step 2 of 4 Since the rational function has an indeterminate form of type - at x = 8, we can find an equivalent expression for the function by factoring its numerator and denominator and canceling like factors. It is important, however, that we keep the domain of the ional function. (9x + 8) 9x2 - 64x - 64 - = 2x2 - 128 2 (x + 8) X X #8 X Submit Skip (you cannot come back). Additional Materials Reading Viewing Saved Work Revert to Last Response Submit Answer PRACTICE ASATLIFE 7:11 PM 3/11/2022