Chapter 10: Q. 65 (page 777)
Demonstrate that each of the series is telescoping. Give the general term Sn in each series' list of partial sums, and if the series converges, get the total of the series.
Short Answer
The series is divergent
Chapter 10: Q. 65 (page 777)
Demonstrate that each of the series is telescoping. Give the general term Sn in each series' list of partial sums, and if the series converges, get the total of the series.
The series is divergent
All the tools & learning materials you need for study success - in one app.
Get started for freeFind and find the unit vector in the direction of .
In Exercises 30–35 compute the indicated quantities when
In Exercises 36–41 use the given sets of points to find:
(a) A nonzero vector N perpendicular to the plane determined by the points.
(b) Two unit vectors perpendicular to the plane determined by the points.
(c) The area of the triangle determined by the points.
(Hint: Think of the -plane as part of .)
Consider the sequence of sums
(a) What happens to the terms of this sequence of sums as k gets larger and larger?
(b) Find a sufficiently large value of k which will guarantee that every term past the kth term of this sequence of sums is in the interval (0.49999, 0.5).
Suppose that we know the reciprocal rule for limits: If exists and is nonzero, then This limit rule is tedious to prove and we do not include it here. Use the reciprocal rule and the product rule for limits to prove the quotient rule for limits.
What do you think about this solution?
We value your feedback to improve our textbook solutions.