Checkpoint 1 Answers

1. For the arctangent series, `text[|]b_ktext[|]=text[|] x text[|]^(2k+1)text[/(]2k+1text[)].` If `text[|] x text[|] >1`, then the numerator is an increasing exponential function of `k`, which grows faster than the linear function of `k` in the denominator. Thus `text[|]b_ktext[|] rarr oo`.
2. The Divergence Test.