pt Consider the series M8 n=1 arctan(n) n4 (a) For all 721, 0 < arctan(r)< Give the best possible bound. And so 0≤an = arctan(n) an(n) ≤bn b= 12 Since 0an bn, which of the following test should we apply? A. The ratio test B. The nth term test for divergence C. The limit comparison test D. The comparison test. E. The integral test F. The p-series test G. The root test (b) Up to a constant, which of the following statement is true for the series 000000 A. The series converges by the geometric series since r = 0.5 > 1 B. The series converges by the p-test since p=4>1 C. The series diverges by the p-test since p = -4 <1 D. The series diverges by the geometric series since 1=4>1 E. The series diverges by the nth term test for convergence. F. none of the above (c) What does this test tell you about +oo Larctan(n) n4 ? +00 bn? Σ T n=1 A. The test tells us no information B. The series converges C. The series diverges D. none of the above n=1