I.e., because this type of definition would be specified with the sake of completeness and coherence While using the point "the restricting ratio would be the ratio of the boundaries", your
(two) in an enriched amount process made up of both infinite numbers and infinitesimals, such as the hyperreals, one can avoid discussing things such as indeterminate kinds
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$begingroup$ Then probably I should question how can We all know when to make use of Taylor Sequence to outline a function ? $endgroup$
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But I couldn' t get the last sentence. Everything you imply I ought to say some thing about calculus ? As an instance, I am Prepared to manage calculus, then how would we are saying no matter whether a perform might be expressed as being a sequence or not ? $endgroup$
I discovered How was Euler equipped to generate an infinite product for sinc by using its roots? which discusses how Euler might have found the equation, but I ponder how Euler could have proved it.
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