Let be a sequence of elements of . Prove that if converges in to , then for every , the sequence converges in to . Show by example that the converse is not true.

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- Dec 5th 2011, 12:58 PMwopashuiconvergence in R
Let be a sequence of elements of . Prove that if converges in to , then for every , the sequence converges in to . Show by example that the converse is not true.

- Dec 5th 2011, 01:34 PMgirdavRe: convergence in R
and taking where we get a counter-example for the converse.