Question

DEFINE
UNBOUNDED SEQUENCES????????​

Answer 1

Answer:

If a sequence is not bounded, it is an unbounded sequence. For example, the sequence 1/n is bounded above because 1/n≤1 for all positive integers n. It is also bounded below because 1/n≥0 for all positive integers n.

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Answer 2

⭐Unbounded sequence⭐

▪ If a sequence is not bounded, it is an unbounded sequence .

Example. ➡ Consider the sequence of functions on the interval (0,1) given by fn(x)=nxn. Note that fn(x) converges to 0 point wise on (0,1). However, fn(x) is unbounded on (0,1).

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