Let fn(x) = x^n for x ∈ [0,1]. check if it is pointwise convergence. Define where it becomes discontinuous.

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A: This is a question from Maclaurin series.

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A: We can prove it by showing that function is not pointwisw convergent.

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A: We find the limit numerically

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Q: Is there a sequence of continuous functions: fn : [0,1]-->R that is pointwise convergent but the…

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Q: H(3)=6 and the limit as x approaches 3 of H(x) is 6. Mustache be continuous at (3,6)? State why.

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