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Definition of asymptotic relation 
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#1
Jul1906, 10:19 AM

P: 320

Hi all!
Can anyone explain to me why the asymptotic relation between a function and a power series is defined in such a way: For all N, [tex] f(x)  \sum_{n=0}^N a_n(xx_0)^n << (xx_0)^N [/tex] How does this incorporate the idea of asymptoticity? Please kindly help. 


#2
Jul1906, 10:37 AM

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P: 12,016

[tex]\lim_{x\to{x}_{0}}\frac{f(x)  \sum_{n=0}^N a_n(xx_0)^n}{(xx_{0})^{N}}=0[/tex] 


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