Chapter 7: Q 70. (page 615)
Find the values of x for which the series converges.
Short Answer
The series converges for all values ofx.
Chapter 7: Q 70. (page 615)
Find the values of x for which the series converges.
The series converges for all values ofx.
All the tools & learning materials you need for study success - in one app.
Get started for freeProve Theorem 7.24 (a). That is, show that if c is a real number and is a convergent series, then .
Explain why, if n is an integer greater than 1, the series diverges.
Prove Theorem 7.25. That is, show that the series either both converge or both diverge. In addition, show that if converges to L, thenconverges tolocalid="1652718360109"
Express each of the repeating decimals in Exercises 71–78 as a geometric series and as the quotient of two integers reduced to lowest terms.
Determine whether the series converges or diverges. Give the sum of the convergent series.
What do you think about this solution?
We value your feedback to improve our textbook solutions.