Let S = Σan be a series. n=0 Which of the following statements must be true? Select all the correct answers. IF lim an = 0, THEN the series S is CONVERGENT. 0042 IF the series S is DIVERGENT, THEN lim an = 0. n→∞ = 0. IF the series S is CONVERGENT, THEN_liman = 0042 IF an is DIVERGENT, THEN lim an 0. n→∞ n=1 IF n=1 an is DIVERGENT, THEN Σ an = ∞0 n=1 IF lim an ‡0, THEN the series S is DIVERGENT. n→∞

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Let S = Σan be a series.
n=0
Which of the following statements must be true?
Select all the correct answers.
IF lim an = 0, THEN the series S is CONVERGENT.
0042
IF the series S is DIVERGENT, THEN lim an = 0.
n→∞
= 0.
IF the series S is CONVERGENT, THEN_liman =
0042
IF
an is DIVERGENT, THEN
lim an 0.
n→∞
n=1
IF
n=1
an is DIVERGENT, THEN Σ an = ∞0
n=1
IF lim an ‡0, THEN the series S is DIVERGENT.
n→∞
Transcribed Image Text:Let S = Σan be a series. n=0 Which of the following statements must be true? Select all the correct answers. IF lim an = 0, THEN the series S is CONVERGENT. 0042 IF the series S is DIVERGENT, THEN lim an = 0. n→∞ = 0. IF the series S is CONVERGENT, THEN_liman = 0042 IF an is DIVERGENT, THEN lim an 0. n→∞ n=1 IF n=1 an is DIVERGENT, THEN Σ an = ∞0 n=1 IF lim an ‡0, THEN the series S is DIVERGENT. n→∞
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,