# Pt determine whether the sequence is divergent or

• Notes
• 5
• 100% (16) 16 out of 16 people found this document helpful

This preview shows page 3 - 5 out of 5 pages.

13. (1 pt) Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as INF. If it diverges to negative infinity, state your answer as MINF. If it diverges without being infinity or negative infinity, state your answer as DIV. lim n - 2 ( n ! ) ( n ) n 14. (1 pt) For each of the following series, indicate whether the integral test can be used to determine its convergence or not,
and if not, why. A. n = 1 7 n ( | cos ( n ) | + 2 ) Can the integral test be used to test convergence? A. no, because the terms in the series do not decrease in magnitude
E. no, because the function f ( x ) (where a n = f ( n ) ) is not defined for all x F. yes B. n = 1 cos ( n ) n 3 Can the integral test be used to test convergence?
3
12. (1 pt) Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as INF. If it diverges to negative infinity, state your answer as MINF. If it diverges without being infinity or negative infinity, state your answer as DIV. E. no, because the function f ( x ) (where a n = f ( n ) ) is not defined for all x F. yes C. n = 1 ln ( 7 n )+ n n Can the integral test be used to test convergence? lim n - 8 ( n ! ) ( 2 ) n Correct Answers: MINF A. no, because the terms in the series do not decrease in magnitude B. no, because the terms in the series are not all positive for n c , for some c > 0 C. no, because the series is not a geometric series D. no, because the terms in the series are not recursively defined
E. no, because the function f ( x ) (where a n = f ( n ) ) is not defined for all x F. yes