Question

(a) For the limit lim (x3 + x + 1) = 3, use a graph to find the largest possible value of that corresponds to E = 0.5. (Round your answer down to three decimal places.) 8 = (b) By using a computer algebra system to solve the cubic equation x3 + x + 1 = 3 + &, find the largest possible value of that works for any given € > 0. 8() = (c) Put & = 0.5 in your answer to part (b). (Round your answer down to three decimal places.) 8(0.5) =

Answer 1

al lim zent 1=3 کہ تر) nal 8= ? panik d = 716?+ m +1) -312 G 1²+ Hall - 32005 -0.59 2² +4 +1 -3 <0.5 2.52 2² rifl 23.5. which the clone Jannt) ho we need the do determine the value ne lue between y. 2.5 and Anal= 2.5 nthal 23.5 n²+2-1.5=0 non 1-3.500 43+27-1.5=0 720-2.5=0 x= -111 5 715-17 JI 2 21+2,645 n=-143.316 2 2 by devalue 거모 2.316 2 न 1.645 2 na 0.8225 n= 1.158 CS Sched with CSMScanne

(35)- an 360. 5). Hos) -1 D 65) - 3-4.5.265)0 4816664 29 34-5.26 5104875664 3.56306445 68166537८१ (1. 25११2)•5) x2. 0 8908 332_3.5430445 3.5638445 2,6201413905824 0.870658769 8.56386445 2 = 1.3579695612648 -- 0.244308754543 1. 11556 1305810 11.6.0 S(s): 115561-3950 10- 20. (550105810 2 Ang ICS Scared with GEMSCO