Question: Only B and E 1. Using the definition of convergence, check that the following sequences s, converge to the given limit ( as n -

Only B and E

1. Using the definition of convergence, check that the following sequences s, converge to the given limit ( as n - co. That is, given = > 0, find an explicit natural number no (depending on E) with the property that for all n _ no one has Sn - (KE. (a) Sn = 3 -+ 0 ( b) Sn = Vn + 0 (c) Sn = (-5) " 2 (d) Sn = 10 (log n)2 + 0 (e)T Sn = 3n+1 n ( f) Sn = Jn't1 2 - 0

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