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Unformatted text preview: Practice Quiz IA for Math 1502
I Sum this series exactly: ∞ 4
5 k=2 k (II.) Give a careful and precise explanation of the fact that ∞
n=1 n = ∞. For the next three sums, determine whether the sums are ﬁnite or inﬁnite.
k=1 (IV.) 1
k + 2k ∞
k=1 (V.) ∞
k11/10 (VI.) Find the third Taylor polynomial P3 (x) and the fourth remainder R4 (x) for ln(1+ x).
(VII.) Use your answer to the previous problem to estimate ln 0.7. Estimate |R4 (0.7)|.
(VIII.) Derive the limit ex − 1 − x
lim (IX.) Evaluate the limit
lim n1/n = 1 n→∞ ...
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This note was uploaded on 09/12/2011 for the course CALC 1502 taught by Professor Morley during the Fall '08 term at Georgia Institute of Technology.
- Fall '08