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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ISBN:9780470458365
Author:Erwin Kreyszig
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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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