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Multiple choice: Choose the best answer. Some questions may have more than 1 correct answer. Thank you so much. Have a nice day! fk 2)

Multiple choice: Choose the best answer. Some questions may have more than 1 correct answer.

Thank you so much. Have a nice day!

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\fk 2) Let anERfor allnEN. Let 8k: Zn\". 71:]. a) Then 2 an converges if and only if {8k} converges. n=1 b) Then E: on converges if and only if {Sh} is bounded. c) If Z on diverges then lim Sk \":1 kboo d) None of the above. k 3) Let an 2 O for all n E N. Let S16 2 Z on. 11:1 a) Then 2 an converges if and only if {Sh} converges. \":1 b) Then 21 an converges if and only if {8k} is bounded. c) If 2 an diverges then lim Sk \"=1 k>OO d) None of the above. 4) The Comparison Test a is a consequence of the Monotone Convergence Theorem. ) b) applies only to positive series. c) shows that if 0 s an 5 5n and if E b\" converges, then 2 an converges. ) 71:1 71:1 d None of the above. 5) The Divergence Test a shows that if lim an 0 then 2 an converges. TLl'OO \":1 ) b) applies only to positive series. c) can be used to show that 2% 1diverges. ) d None of the above. 6) In applying the Limit Comparison Test to the series 2: 5% we would let a) b = \"1; b) bn = \"1; c) b = 1 d) None nof the above

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