Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Determine whether the series is convergent or divergent. ਪੰਜਾ 1 e12

Determine whether the series is convergent or divergent. ਪੰਜਾ 1 e12

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
Determine whether the series is convergent or divergent. 1 en+2 1 I en 1 The series? Justification: (If more than one test is appropriate, pick the first applicable test in the list.) OA. 00 This is a Geometric Series of the formar-¹ where a = n=1 OB. This is a Telescoping Series, lim Sn = 1 700 OC. By the Divergence Test, lim an = n->00 O D. By the Direct Comparison Test, an ≤ b O E. By the Direct Comparison Test, an ≥ b OF. By the Limit Comparison Test, let Σbn=c() where c = an lim = n∞⁰ bn ii) lim bn = 1 00 ii) f(x) dx = OI. By the Ratio Test, lim an+1 with Σ bn = Σc(), c = n 100 an OG. By the Alternating series test, i) {bn} is ultimately decreasing because the function f satisfying f(n) = bn is decreasing on the interval = T = where Σ bn = [c() where c = OJ. By the Root Test, limno |an| = OH. By the Integral Test, i) The function f satisfying f(n) = an is positive, continuous, and ultimately decreasing on the interval 5. p= and p = and its sum is and p = and (Enter "DNE" if divergent.)
Transcribed Image Text:Determine whether the series is convergent or divergent. 1 en+2 1 I en 1 The series? Justification: (If more than one test is appropriate, pick the first applicable test in the list.) OA. 00 This is a Geometric Series of the formar-¹ where a = n=1 OB. This is a Telescoping Series, lim Sn = 1 700 OC. By the Divergence Test, lim an = n->00 O D. By the Direct Comparison Test, an ≤ b O E. By the Direct Comparison Test, an ≥ b OF. By the Limit Comparison Test, let Σbn=c() where c = an lim = n∞⁰ bn ii) lim bn = 1 00 ii) f(x) dx = OI. By the Ratio Test, lim an+1 with Σ bn = Σc(), c = n 100 an OG. By the Alternating series test, i) {bn} is ultimately decreasing because the function f satisfying f(n) = bn is decreasing on the interval = T = where Σ bn = [c() where c = OJ. By the Root Test, limno |an| = OH. By the Integral Test, i) The function f satisfying f(n) = an is positive, continuous, and ultimately decreasing on the interval 5. p= and p = and its sum is and p = and (Enter "DNE" if divergent.)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
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,
SEE MORE TEXTBOOKS