Extension to the case, The theorem that Pn → W was proved

Extension to the case

Reference no: EM13983586

The theorem that Pn → W was proved only for the case that P has no zero entries. Fill in the details of the following extension to the case that P is regular. Since P is regular, for some N, PN has no zeros. Thus, the proof given shows that MnN - mnN approaches 0 as n tends to infinity. However, the difference Mn - mn can never increase. (Why?) Hence, if we know that the differences obtained by looking at every N th time tend to 0, then the entire sequence must also tend to 0.

Reference no: EM13983586

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