Let [a,b] be a closed interval in , and suppose that { }, is a sequence within [a,b]. Prove that the sequence { }, , converges. Anyone know how to do this problem? thanks in advance guys.
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Originally Posted by Cato Let [a,b] be a closed interval in , and suppose that { }, is a sequence within [a,b]. Prove that the sequence { }, , converges. Anyone know how to do this problem? thanks in advance guys. note that the 's are bounded.
We have then use squeeze theorem
Why and
Originally Posted by Cato Why and it is within the interval [a,b]. so the smallest an element of the sequence can be is a, while the largest it can be is b
Thanks guys
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