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Let fn:RR be defined by fn(x):=1+nx2x for all nN and all xR. (a) Prove that fn(x)n1 for all nN and for all xR. Hint: Distinguish

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Let fn:RR be defined by fn(x):=1+nx2x for all nN and all xR. (a) Prove that fn(x)n1 for all nN and for all xR. Hint: Distinguish the two cases x<1>

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