prove that the sequence converges.

Let [a,b] be a closed interval in R, and suppose {Sn} where n>=1, is a sequence with {Sn | n>=1} ⊂ |a,b|
Prove that {Sn/√n} where n>=1 converges
Im trying to prove that it is bounded above and increasing.. So obviously its bounded above by b, how can i show its increasing though?

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Originally Posted by calculuskid1

Let [a,b] be a closed interval in R, and suppose {Sn} where n>=1, is a sequence with {Sn | n>=1} ⊂ |a,b|
Prove that {Sn/√n} where n>=1 converges
Im trying to prove that it is bounded above and increasing.. So obviously its bounded above by b, how can i show its increasing though?

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Try the sandwich or squeeze theorem: ...

Tonio