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Find the pointwise limit f(x) of the sequence of functions fn(x) = x^n/(n+x^n) on [0, ?)....

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Advance Math

Find the pointwise limit f(x) of the sequence of functions fn(x)= x^n/(n+x^n) on [0, ?). Explain why this sequence does notconverge to f uniformly on [0,?). Given a > 1, show that thissequence converges uniformly on the intervals [0, 1] and [a,?) forany a > 1.

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