Let (a,) be a monotone sequence of real numbers. Which of the following statements about (a,) is FALSE? Select one: O a. none of the listed statements is a false statement O b. the sequence (ka, +c) is monotone for any constants k and c. O c. The sequence (a,) is convergent if and only if there exists an M>0 such that la,| < M for every natural number n. O d. If lim inf(a,) does not exist, then (a,) is divergent.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 55E: The Fibonacci sequence fn=1,1,2,3,5,8,13,21,... is defined recursively by f1=1,f2=1,fn+2=fn+1+fn for...
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Let (a,) be a monotone sequence of real numbers. Which of the following statements about (a,) is FALSE?
Select one:
O a. none of the listed statements is a false statement
O b. the sequence (ka, +c) is monotone for any constants k and c.
O c. The sequence (a,) is convergent if and only if there exists an M>0 such that la,| < M for every natural number n.
O d. If lim inf(a,) does not exist, then (a,) is divergent.
Transcribed Image Text:Let (a,) be a monotone sequence of real numbers. Which of the following statements about (a,) is FALSE? Select one: O a. none of the listed statements is a false statement O b. the sequence (ka, +c) is monotone for any constants k and c. O c. The sequence (a,) is convergent if and only if there exists an M>0 such that la,| < M for every natural number n. O d. If lim inf(a,) does not exist, then (a,) is divergent.
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