Calculus 1 problems: functions, integrals, series

BigBowler
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Mentor note: Moved from technical section, so is missing the homework template.
Im doing some older exams that my professor has provided, but I haven't got the solutions for these. Can someone help confirm that the solutions I've arrived at are correct?

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For these problems, it's probably better if you take a stab at checking them for yourself. For the first question, could the answer be B or C? For the second question, test each given function to see if it's a solution of the diff. equation. For the third and fourth questions, I would use the Ratio Test to determine the interval on which each series converges.
 
Thanks for the tips.
 
The questions are slightly more involved than True/False questions, as they really have only three reasonable answers. If you give a D response (Don't know), that's saying to the instructor that you really don't have a clue.
 
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