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Limits and Convergence of Sequence

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Prove that the sequence of functions ... converges for every
, and find the limit to which it converges.

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Limits and Convergence of Sequence are investigated. The solution is detailed and well presented.

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Proof:
Let's fix and check the sequence.
, , ,
.
Generally, for , we have
When , we have . Thus the sequence converges to .
Now we consider .
1. Consider the ...

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