Let g_n:[0,1] -> R be defined by g_n(x) = 1/(1+x^n).

Dec 12th, 2015
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Mathematics
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Question description

Let g_n:[0,1] -> R be defined by g_n(x) = 1/(1+x^n). Is the sequence of functions g_n pointwise convergent or uniform convergent or neither? Prove your answer.

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