MATH 201 Exam 1, Spring 2018

Abi-Khuzam, Shayya, Yamani, Karakazian = your section ny ~ * tease answer each problem your answer that is not writte - Unjustified answers will mber on your booklet. wee ON the indicated page(s) of the booklet. Any pa DON the indicated page(s) will not be graded. receive lithe or no credit Problem 1 (answer on pages | and ) of the booklet). (9 ports cas h) Which of the following sequences converge, and which diverge Find the limit of each CONVET Rent sequence, @a, =A Pe ~n (ii) A. = hm end \n+in6 (-1)" (iii) d, =n 21 : | (iv) Cp =5 ' n Problem 2 (answer on pages 3 and 4 of the booklet). (9 points each) Which of the following series converge, and which diverge? Find the sum of the series when possible. (i) >| =e 4 a ] (ii) y(1 a2 ) n= ol Problem 3 (answer on pages 5, 6 of the booklet). (18 points) Find the interval of convergence of the power series > C's > (Inn) 3° (Remember to check the endpoints.) Problem 4 (answer on pages 7, 8 of the booklet). (10 points) 0 _ yal ar Estimate pi fe — with an error of magnitude less than 2 x 10°. n=1 \10 (n+ 1) Is your estimate an over-estimate or an under-estimate?