True or false: 1.If S ? R, then the number M is an upper bound of S if x ? M for

ID: 2872735 • Letter: T

Question

True or false:

1.If S ? R, then the number M is an upper bound of S if x ? M for every x ? S.

2. Let S = [0, 1). Then M = 1000 is an upper bound for S.

3.. Let S = [0, 1). Then M = 1 is an upper bound for S.

4.Let S = [0, 1). Then M = 1 is the least upper bound for S.

5.If S is a non-empty set of real numbers, then S must have a least upper bound.

8.It is possible to complete infinitely many tasks in a finite amount of time.

9. Even when we know that a series converges, most of the time it is difficult or even impossible to find its limit.

10.A geometric series converges when the absolute value of its common ratio is less than 1.

11. The harmonic series diverges

1. f

2.t

3.t

4.t

5.f

6.t

7.f

8.f

9.t

10.t

11.f

12.t

13.f

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.