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junior college 1 | H1 Maths
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can someone explain why the series diverge? thank you!!
Date Posted: 3 years ago
Views: 288
Not in H2 syllabus although someone does explain it here https://tutorial.math.lamar.edu/classes/calcii/convergenceofseries.aspx
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A divergent series is one that does not converge. This means the series (which by definition is the sum of the terms in a sequence) does not have a limit and is not finite. Neither do the individual terms of the series converge/tend to any particular value.
In this case you have a oscillating/alternating series, where the value alternates between 0 and 1.
References for further reading :
mathworld.wolfram.com/DivergentSeries.html
mathworld.wolfram.com/ConvergentSeries.html
The study of this is beyond H2 level, let alone H1.
In this case you have a oscillating/alternating series, where the value alternates between 0 and 1.
References for further reading :
mathworld.wolfram.com/DivergentSeries.html
mathworld.wolfram.com/ConvergentSeries.html
The study of this is beyond H2 level, let alone H1.
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