MATH 2411 #16: QUESTION 2



#16: 2a) ANSWER:

#16: 2b) ANSWER:
SOLUTION:

#16: 2c) ANSWER: 0
SOLUTION: The limit of the first factor is 1 using L'Hopital"s Rule. The limit of the second factor is 0. Therefore, the limit of the product is 0.

#16: 2d) ANSWER: The series converges absolutely
SOLUTION: Since r = 0 < 1, the series converges absolutely.