Mathematics · Real Analysis

The largest subset of [-1,1] in which the sequence of functions (fn) given by fn(x) = xn converges pointwise is:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1[-1, 1)
2(-1, 1]✓
3[-1, 1]
4(-1, 1)

Correct answer

(-1, 1]

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The largest subset of [-1,1] in which the sequence of functions (fn) given by fn(x) = xn converges pointwise is:

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The largest subset of [-1,1] in which the sequence of functions (fn) given by fn(x) = xn converges pointwise is:

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