Question

LAB 1 LIMITS&GRAPHS (NOTE: You can use Microsoft Mathematics, Derive, Wolframalpha or any other Computer Algebra System of your choice. Your final report must be clear and concise. You must also providesufficient comments on your approach and the final results in a manner that will make your report clear and accessible to anyone who is familiar with the basic concepts, operations and applications of calculus I.) Your work should be submitted as a Derive 5.0, MS Word or a pdf file Use graphical, and numerical procedures in conjunction with any Computer Algebra System of your choice to explore the following limits. In each case write a brief justification for your result to include the approach taken i.e. graphical and numerical. You may also include a comparison of results with the particular application's output when the expression is entered and evaluated directly by the application. For each case include a representative graph. lim (1+x)1/ lim(1x)1/ b. 1. a lim sin() limsin() 0 b. 2. a. lim x1/ b. lim r1/ 3. a

Answer 1

lim (n a. Let L Lin toy Cit) in Cith) Ly(iem) lin Lag (ren) -(%) in deler ninate form L' Hos pitl le Ay (itn) 1 1 e Fram Arvins SU L: e 1 Liu (ton)Yn

dees notcrint lin (4) a. Sin lin ('n) O f)O84 f0.1)-0.s 44 f(0-01)-- 0 506 f(0.01) 082 f(0. 001)-0032 Sivce J doer nok Comee patieular velue so does

1