3. Example 1 after Corollary 4.7.9 displays a sequence of functions fn(x) that converge to a limiting

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3. Example 1 after Corollary 4.7.9 displays a sequence of functions fn(x) that converge to a limiting function f(x).

(a) Use the definition of uniform convergence to examine whether this convergence is uniform.

(b) If this convergence were uniform, what consequence would it have for the integration of the limiting function f? Why?

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