To test this series for convergence ∞ n=1 3n 4 6n You could use the Limit Comparison Test, comparing it to the series Completing the test, it shows the series: O Converges Diverges ∞ n=1 pr where r=

To test this series for convergence 2" + 5 7" n=1 00 You could use the Limit Comparison Test, comparing it to the series r" where r3= n=1

(3 pts) Find the convergence set of the given power series: ∞ 4" (x - 1)" n! n=1 The radius of convergence of this series is R The above series converges for Enter "infinity" for ∞ and "-infinity" for -∞. = < x <

Consider the following series: 4 – 3/k k2 - 2k A k=3 (a) Can the Integral Test be used for this series? Explain in detail your answer. Show all your steps. (b) If the answer in (a) is yes, then use the Integral Test to determine if this series is convergent or divergent. Otherwise. use the Absolute Convergence Test Show al your steps. auired: Upload your work to SLATEa nd sut th designated boxes below