Question: a) Prove that x/n 0 uniformly, as n , on any closed interval [a, b] b) Prove that 1/(nx) 0 pointwise but

a) Prove that x/n → 0 uniformly, as n → ∞, on any closed interval [a, b]
b) Prove that 1/(nx) → 0 pointwise but not uniformly on (0, 1) as n → ∞.

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