Continued Radicals
If a1, a2, . . . , an are nonnegative real numbers and fj(x) = paj + x, then f1o f2o· · · fn(0) is a nested radical with terms a1, . . . , an. If it exists, the limit as n ! 1 of such an expression is a continued radical. We consider the set of real numbers S(M) representable as an infinite nested r...
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TopSCHOLAR®
2005
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| Online Access: | http://digitalcommons.wku.edu/theses/240 http://digitalcommons.wku.edu/cgi/viewcontent.cgi?article=1243&context=theses |