3. (10 points) Consider the sequence {fn}neN defined by 3. n/2x fn (2) = = 1+nx'...

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3. (10 points) Consider the sequence {fn}neN defined by 3. n/2x fn (2) = = 1+nx' x = [0, 1], n N. Show that the sequence converges pointwise and find the limit. Determine whether or not it converges uniformly. 3. (10 points) Consider the sequence {fn}neN defined by 3. n/2x fn (2) = = 1+nx' x = [0, 1], n N. Show that the sequence converges pointwise and find the limit. Determine whether or not it converges uniformly.