ii) n = √9n² + n-3n. iii) In = 2.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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ii) n = √9n² + n-3n.
iii) In =
2.
Transcribed Image Text:ii) n = √9n² + n-3n. iii) In = 2.
Problem 1.
For the following sequences determine for four (4) of them whether the given sequence has a limit, and if it does, prove formally that
your stated value is actually the limit by definition or limits theorems, squeeze theorem, ratio test, or any other theorem about the
convergence of sequences. Alternatively, you can use the Cauchy criterium. If the sequence is properly divergent prove it formally
too.
Transcribed Image Text:Problem 1. For the following sequences determine for four (4) of them whether the given sequence has a limit, and if it does, prove formally that your stated value is actually the limit by definition or limits theorems, squeeze theorem, ratio test, or any other theorem about the convergence of sequences. Alternatively, you can use the Cauchy criterium. If the sequence is properly divergent prove it formally too.
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