Question

(1 point) If \sum C_n(x - 5)^n converges at x = 11 and diverges at x = 16, what can you say about: (a) the convergence at x = 17? the series diverges (b) the convergence at x = 10? the series diverges (c) the convergence at x = 9? the series converges (d) the convergence at x = 0? the series diverges

          (1 point) If \sum C_n(x - 5)^n converges at x = 11 and diverges at x = 16, what can you say about:
(a) the convergence at x = 17?
the series diverges
(b) the convergence at x = 10?
the series diverges
(c) the convergence at x = 9?
the series converges
(d) the convergence at x = 0?
the series diverges

(1 point) If ∑Cn(x - 5)^n converges at x = 11 and diverges at x = 16, what can you say about:
(a) the convergence at x = 17?
the series diverges
(b) the convergence at x = 10?
the series diverges
(c) the convergence at x = 9?
the series converges
(d) the convergence at x = 0?
the series diverges

Added by Rachel L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Eleni Katirtzoglou

Step 1

Since the series converges at z=11 and diverges at z=16, we can conclude that the series will also diverge at z=17. This is because if the series were to converge at z=17, it would have to converge at all values between 11 and 17, which is not the case. b) The Show more…

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1. Point C-5 converges at 11 and diverges at 16. What can you say about: a) The convergence at z=17: the series diverges. b) The convergence at 10: the series diverges. c) The convergence at z=0: the series converges. d) The convergence at z=0: the series diverges. The series converges. The series diverges. The series might converge or might diverge.