To show that converges, we should use:
A) the inequality and the Comparison Test.
B) the inequality and the Comparison Test.
C) evaluation of the integral.
D) No method can be used, since the function is not non-negative.
E) none of the above.

Question

To show that  converges, we should use:
A) the inequality and the Comparison Test. 
B) the inequality and the Comparison Test. 
C) evaluation of the integral. 
D) No method can be used, since the function is not non-negative. 
E) none of the above.

Quizplus · Accepted Answer

We can use the Comparison Test with the series 11eaa655_3b0b_0450_a696_01e6156aeb88_TB5596_11 since it is a geometric series with common ratio less than 1. Therefore, it converges. Since the terms of the given series are non-negative and less than or equal to the terms of the convergent geometric series, by the Comparison Test, the given series converges.

To Show That Converges, We Should Use