Answer Happy

(5 points) Test each of the following series for convergence by the Integral Test. If the Integral Test can be applied to the series, enter CONV if it converges or DIV if it diverges. If the integral test cannot be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the Integral Test cannot be applied to it, then you must enter NA rather than CONV.) n+1 1. (-8)" n1 00 3 2. n(ln(7n)) 3 3. n=1 n In(7n) 4. ne 8n n=1 5. n1 nen

(1 point) Use the Integral Test to determine whether the infinite series is convergent. 8W n? n=17 (n3 +3) To perform the integral test, one should calculate the improper integral dx = Su Enter inf for oo, -inf for – and DNE if the limit does not exist. By the Integral Test, n? the infinite series Ť n=17 (n3+3) A. converges B. diverges

(1 point) Use the Integral Test to determine whether the infinite series is convergent. 72 14ne n=1 Fill in the corresponding integrand and the value of the improper integral. Enter inffor 0, -inf for –0, and DNE if the limit does not exist. Compare with dr = By the Integral Test the infinite series 14ne n n=1 A. converges B. diverges