
#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

Sci Advisor
HW Helper
PF Gold
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] 


Register to reply 
Related Discussions  
Cartesian Product syntax in dictionary order relation definition  Set Theory, Logic, Probability, Statistics  1  
How is this asymptotic relation?  Calculus & Beyond Homework  1  
asymptotic homework help  Calculus  0  
Asymptotic methods....  Mechanical Engineering  0 