(4) Suppose {a„}1 converges to L and that a, 2 0 for all n. Prove that {Van}1 converges to L. Tip: Note that by problem (2), L > 0. For the case L = 0, you can just cite the previous problem. Finally, for the case L > 0, use (Van – VL)(yan + VL) = a, – L to deduce that n=1 lan – L. IVan – VI| < VL

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