fall09 solutions

fall09 solutions - F6q - N ITH 1 40T est I I t f ( r) : l...

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NITH 140 Test I - 1. (2 pts.) (rnultiple-choice question) It f (r) following statements are tnre? \ '6= fi{x+) \ t=z/r \:D --> A) Fahe Select the correct arrsw€]r. A) There is a number c in the interval (1,3) such that /(c) : tl. B) is a number r: in the interval (1.3) such that ry(r:) g. C) There is a nuntber in the interval .f (c): g(r:). D) None of the above are tnre. :) 4trn 1o / h f gl + fhet€ ; 4rc|=O t c€(t), (hnld*t'Vqfue Write the (capital) letter of the answer in this box 2. (a pts.) Consicler the function F6q logz(r * 1) and g(.r) 3/:r. then which of the b) vh< c) Let Are there numbers for n, and b such that lirrr.,*r.f (t) exists'/ of the limit. .Iustify your answer. at >to ftr^) c /wac h fu* ' [q) if:r(1 r>1. If so, find the values of a and Ir and the value ,,,, { ,t:2 - rt .r-1 3if :r*b if &'wt- & D^/E xt l- /--t ftrt = 4i r--u ?(+ LF la qr* 4',n^- (x'-q)*o ](+ 1' /") va. xs 4- $rxl = ,ha\ra /A"'r'ry {r c. rt u,-t- ( lt+ L) x" L- = .h-,-t- (x+t) x-, xr L b+L J,*.,. rn an'',-- {tx) :=) x-+1+ x+t- /11//,4 (; $tn z Z=A+t -1 6l-t) Answer: Option 1: The limit does not exist for any values of a, and b. Check this borl .h frr) -2 B) con.{. 4,n f l, ?1 h fl)=/"r22-3.4-3 s-z /.t" C9=4t4-t =z-t =L lw)
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This note was uploaded on 09/24/2011 for the course MTH 140 taught by Professor Poliakov during the Fall '10 term at Ryerson.

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fall09 solutions - F6q - N ITH 1 40T est I I t f ( r) : l...

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