This question is based on material from Sections 2.5 to 2.6 the textbook.

Textbook :

Calculus Early Transcendentals: 9th Edition

• James Stewart McMaster University and University of Toronto
• Daniel Clegg Palomar College
• Saleem Watson California State University, Long Beach

1. Let f(x) = an" +an-127 +. . .+aixtao and letg(x) = bmm +bm_1am-+. .+bix+bo be polynomials where do, . . ., an E R, bo, . .., bm E R and an * 0 and bm # 0. (a) Suppose m > n. Find f(x) lim and lim f(x) x->00 g(x) x->- g(x) Does your answer depend on the particular values of m, n, an, and bm? (b) Suppose m = n. Find f(x) lim x->oog(x) and lim f(x) x->-cog(x) Does your answer depend on the particular values of m, n, an, and bm? (c) Suppose m -cog(x) Does your answer depend on the particular values of m, n, an, and bm