Department of Mathematics | University of Colorado Boulder
Sequences: Calculus IIName:________________In your groups, find a formula for the nth term of the sequence (as given in number four) and then explore what happens to the following sequences of numbers as n goes to infinity. State why mathematically you think your answer is correct. DO NOT OPEN YOUR TEXT BOOK!!!!!{1, 2, 3, 4, 5, 6, … …}Another way to write a sequence is in the following manner: ,. What do you think happens to the terms in the sequences as n approaches infinity? Why? Which of the sequences converge and which diverge (why?)? Find the limit of each convergent sequence. (x>0) (|x|<1) ................
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