Hi, Ive been set this problem and am struggling to see how to solve it. Any help much appreciated, thanks Fix . Show that: (i) The sequence converges if and only if
Last edited by mr fantastic; Nov 17th 2010 at 05:08 PM.
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Originally Posted by shmounal Hi, Ive been set this problem and am struggling to see how to solve it. Any help much appreciated, thanks Fix . Show that: (i) The sequence converges if and only if Hint: , and we know (I hope...) that a complex sequence converges iff its real and imaginary parts converge. Tonio
Originally Posted by tonio Hint: , and we know (I hope...) that a complex sequence converges iff its real and imaginary parts converge. Tonio It is evident that if and is ... ... so that the sequence converges... Kind regards
Originally Posted by chisigma It is evident that if and is ... ... so that the sequence converges... Kind regards Well, yes: that's the trivial part. I suppose the OP was interested in the other direction. Tonio
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