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Day26c_Night_1432FinalComplete

# Day26c_Night_1432FinalComplete - Review Test 3 6 Multiple...

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Review Test 3: 6 Multiple Choice: Series: Convergence, Divergence, Absolute Convergence, Conditional Convergence, Sum (geometric, telescoping) Free Response: 1. L’Hopital – recognize and apply 2. Improper Integrals – recognize type of improper integral, compute improper integrals using CORRECT notation 3. Series – use known tests (alternating series, root, ratio, p-series, limit comparison, integral, basic comparison, geometric, basic divergence) to determine convergence 4. Taylor Polynomials and Series – Give Taylor polynomials using given information (values, functions, etc); be able to find the error; radius and interval of convergence

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Find the Taylor polynomial P 5 (x) for f (x) = xcosx 2 . Find the nth Taylor polynomial P n for the function f (x) = e –x Find the nth Taylor polynomial P n for the function f (x) = sinh x

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Find the nth Taylor polynomial P n for the function f (x) = ln (1 – x) Give the 5 th degree Taylor polynomial for f (x) = sin (x) centered at 0. Give the 5 th degree Taylor polynomial for f (x) = e x centered at 0.
Give the 5 th degree Taylor polynomial for f (x) = ln (x+1) centered at 0.

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