Calculus, Single Variable: Early Transcendentals (3rd Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
3rd Edition
ISBN: 9780134766850
Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher: PEARSON
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Chapter 3.6, Problem 35E

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.

  1. a. If the acceleration of an object remains constant, then its velocity is constant.
  2. b. If the acceleration of an object moving along a line is always 0, then its velocity is constant.
  3. c. It is impossible for the instantaneous velocity at all times atb to equal the average velocity over the interval atb.
  4. d. A moving object can have negative acceleration and increasing speed.
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This means that when the Radius of Convergence of the Power Series is a "finite positive real number" r>0, then every point x of the Power Series on (-r, r) will absolutely converge (x ∈ (-r, r)). Moreover, every point x on the Power Series (-∞, -r)U(r, +∞) will diverge (|x| >r). Please explain it.
Explain the conditions under which Radious of Convergence of Power Series is infinite. Explain what will happen?
Explain the conditions under Radius of Convergence which  of Power Series is 0
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