MATH 1552 Quiz: Practice Test 3.pdf 2015
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Math 1552 spring 2010 britt test 4: determine the limits of the following sequences (if they exist). 100000 n a = n b) na cos. 1 n is an infinite series with a sequence of partial sums given by. 1 n then what can you say about the convergence or divergence of a n. 1 n: determine if the following series converge absolutely, converge conditionally or diverge. ( 1)n. 5 c) n ( 1) 300 n n. Establish the interval of convergence for the series x n. 5: using series you know, produce a maclaurin series representation for the following sin x. 2 x+ c) cos x ln f x: a) produce a taylor polynomial for ln1. 1 b) use your polynomial to approximate c) analyze the taylor remainder to estimate the error in your approximation. 4 x: produce a series representation for the value of. Bonus: determine the sums of the series below (if possible). n.
