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A sequence (fn) defined on set S is said to be uniformly bounded on S if
Question



A sequence (fn) defined on set S is said to be uniformly bounded on S if

A.

there exists k>0 such that fn (x)| <k; for all x belongs to S and n belongs to N.

B.

there exists k<0 such that fn (x)| >k; for all x belongs to S and n belongs to N.

C.

there exists k<0 such that fn (x)| <k; for all x belongs to S and n belongs to N.

D.

there exists k>0 such that fn (x)| >k; for all x belongs to S and n belongs to N.

Correct option is A


A sequence {fn} defined on set S is said to be uniformly bounded on S if there exists k>0 such that |fn(x)| < k; for all x belongs to S and n belongs to N.

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