Question

Every monotonic increasing sequence which is not bounded above, is

(a) convergent
(b) divergent
(c) oscillatory
(d) neither convergent nor divergent​

Answer 1

Answer:

Every monotonically increasing sequence which is bounded above is convergent. 3.1. 3 Theorem: If is monotonically decreasing and is bounded below, it is convergent.

Step-by-step explanation:

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Answer 2

The correct answer is option (a) convergent

Explanation:

• Every monotonic increasing sequence which is not bounded above, is convergent.
• There is a Theorem for this which states that If is monotonically decreasing and is bounded below, it is convergent.
• A monotonic which is bounded and is in increasing sequence is convergent.
• Hence, the correct answer is option a i.e convergent.