Consider the following series (-1)"n n2 +1 2 n+7 n+5 1 (1) Σ (2) (3) n5 +3 n=1 n=1 n=1 Only one of the following statements is correct. Choose the correct one (denote the limit comparison test by LCT, the comparison test by CT and the alternating series test by AST) (A) series 1 diverges by LCT and series 2 diverges by CT (B) series 1 diverges by LCT and series 3 converges by LCT (C) series 2 converges by CT. Q2 V2_Ah (D) series 1 and 3 diverge by LCT (E) series 2 and 3 converge by LCT (F) series 3 diverges by AST

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
icon
Related questions
Question
100%
Consider the following series
(-1)"n
n2 +1
2 n+7
1
(1)
(2)
(3)
n5 +3
n=1
n+5
n=1
n=1
Only one of the following statements is correct. Choose the correct one (denote the limit
comparison test by LCT, the comparison test by CT and the alternating series test by
AST)
(A) series 1 diverges by LCT and series 2 diverges by CT
(B) series 1 diverges by LCT and series 3 converges by LCT
(C) series 2 converges by CT.
(D) series 1 and 3 diverge by LCT
Q2_V2_Ah
(E) series 2 and 3 converge by LCT
(F) series 3 diverges by AST
Transcribed Image Text:Consider the following series (-1)"n n2 +1 2 n+7 1 (1) (2) (3) n5 +3 n=1 n+5 n=1 n=1 Only one of the following statements is correct. Choose the correct one (denote the limit comparison test by LCT, the comparison test by CT and the alternating series test by AST) (A) series 1 diverges by LCT and series 2 diverges by CT (B) series 1 diverges by LCT and series 3 converges by LCT (C) series 2 converges by CT. (D) series 1 and 3 diverge by LCT Q2_V2_Ah (E) series 2 and 3 converge by LCT (F) series 3 diverges by AST
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Power Series
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage