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Unformatted text preview: determine how old the picture is and conclude if the picture is fake or not. (3) (5 Points) Determine the values of the sequence { a n } for n = 0 , 1 , 2 , 3 , 4 in the following sequences (a) a n = e cos( πn ) . (b) a n = n 2 n + 1 . (c) a n = √ n + 4 . (d) a n = sin( πn 2 ) . (e) The recursively deﬁned sequence with a = 128 and a n +1 = √ a n . (4) (5 Points) Determine if the following sequences converge or diverge. In case they converge ﬁnd their limit. (a) a n = sin( πn ) . (b) b n = sin(2 πn ) . (c) c n = e2 n . 1 2 INSTRUCTOR: JOS ´ E MANUEL G ´ OMEZ (d) d n = n + 1 n 2 . (e) e n = n 2 + 1 n ....
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 Fall '11
 JoseGomez
 Calculus, Limit of a sequence, JOSE MANUEL GOMEZ

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