Question

Every Causley Sequence is
Select one:
A. Divergent
B. Bounded
C. Unbounded
D. Monotone​

Answer 1

Answer:

unbounded

Step-by-step explanation:

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Answer 2

Answer:

Every casual sequence generally unbounded (except the sequence having periodic properties)

Option (C) Unbounded.

Step-by-step explanation:

Casual Sequence:

A system of sequence whose output is dependent on present and past inputs but independent of future inputs is called Casual Sequence.

On the other hand the sequence systems whose output depends on the future inputs also is called non-casual sequence.

• It is not necessary that a sequence is always divergent. A sequence is said to be convergent if it approaches to some particular limit. As example: Xn = {1/n}; as n tends to infinity Xn tends to 0.
• A sequence can't be bounded always; only the sequences having periodic functions like sine, cosine, tangent , f(x) = (-1)^n are only bounded sequence.
• If any sequence is not having periodic properties or functions then obviously it is unbounded . It can have values in the range -∞ to +∞ everywhere.
• It is not necessary for a sequence to be Monotonic always. As we know the sequences like : Xn = {(-1)^n}, f(x) = sin x, are not Monotonic sequence. Sometime their value increases and sometime decreases. As example: Xn = {(-1)^n} = -1, +1, -1, +1, -1, 1 ....(not monotonic).