MATH 1552 : Practice Test 3
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Math 1552 spring 2010 britt test 4: determine the limits of the following sequences (if they exist). a = n. 1 a 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 n. { } 1 b n n converges to 1. 1 b n: determine if the following series converge absolutely, converge conditionally or diverge. ( 1)n. 1 ( 1) 300 n n n n. Establish the interval of convergence for the series x . 1 n: using series you know, produce a maclaurin series representation for the following sin x. 2 x+ c) cos x: a) produce a taylor polynomial for x. 4 f x ln ln1. 1 b) use your polynomial to approximate c) analyze the taylor remainder to estimate the error in your approximation: produce a series representation for the value of.
