Computation of Boundaries and Sums of Reduced Harmonic Series Formed by Zero and Another Digit

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F10%3A00425196" target="_blank" >RIV/60162694:G43__/10:00425196 - isvavai.cz</a>
Result on the web
<a href="http://vavtest.unob.cz/registr" target="_blank" >http://vavtest.unob.cz/registr</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Computation of Boundaries and Sums of Reduced Harmonic Series Formed by Zero and Another Digit
Original language description
This contribution deals with harmonic series and especially with one of the simplest reduced harmonic series -- the reduced harmonic series formed by zero and another digit. The lower boundaries and the upper one's of sums of all these nine reduced harmonic series are derived. The values of these boundaries are then given in more precise way. Furthermore sums of these nine infinite series are computed. This contribution as an example of scientific computations in CAS Mathcad can be an inspiration for teachers of mathematics whose are teaching the topic Infinite series or as a subject matter for work with talented students.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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