Key to Practice Midterm I

Problem 1

A. True by DCT since 0 < b_n  - a_n < b_n

B.  True by definition of the Taylor Polynomial

C. False, consider the alternating harmonic series

Problem 2

Problem 3

A.  Converges by the root test

B.  Converges conditionally by AST and DCT with sum 1/n (Harmonic Series)

C.  Diverges by Ratio Test

D.  Converges by GST

E.  Converges absolutely by LCT with 1/n²  and P-series

Problem 4

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