MATH 142 Final: MATH142 South Carolina 03Final Exam2
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Answers provided on the last page: determine the limit of the sequence na n= 2e: 0, 1, determine whether the following series are convergent or divergent. For full credit be sure to explain your reasoning and tell what test was used. 7 n (i) (ii) (iii) convergent convergent convergent convergent convergent divergent convergent divergent convergent convergent divergent divergent divergent convergent convergent divergent convergent divergent: find the interval of convergence of divergent divergent convergent x. 3 ,1(cid:10)(cid:11) divergent divergent divergent (cid:8)(cid:9) (cid:8) (cid:9: which of the following is an approximation to sin 2 with error less than. Hint: use an appropriate series centered at 0: 2. Spring 2102: find the fifth order taylor polynomial about x = 5: the distance y t traveled by some object satisfies the equation. 1, what is 4 ? y t dy dt t y e t. )2: 4, find the solution to the differential equation xy. Spring 2102: the integral is equal to, 1.