CK12 Calculus - Single Variable

5. is a geometric series with a = 1 and. The sum is

.

6. divergesby Comparisontest (using , a divergentp-series).


7. convergesby the LimitComparisonTest (using , whichis a convergentp-series).


8. convergesby the LimitComparisonTest (using ,
   whichis a convergentp-series).


9. is a divergentp-series.


10. convergesby the LimitComparisonTest (using , whichis a convergent
    p-series).


11. convergesby the IntegralTest.


12. Mariais correctthat the seriesconverges.She madean errorby sayingthat the valueof the relatedin-

tegralgivesthe sum of the infiniteseries.However, is greaterthan 3.
Levelsof difficulty

1. beginning


2. beginning


3. challenging


4. beginning


5. intermediate


6. intermediate


7. intermediate


8. challenging


9. intermediate