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Differentiating power series 
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#1
Jan1811, 02:15 AM

P: 196

My question is just a concept that I don't understand.
When differentiating a power series that starts at n=0 we bump that bound up to n=1. My question is do we always do that? or Do we only do that when the first term of the power series is a constant and thus when it is differentiated it becomes zero? My guess is the second case. 


#2
Jan1811, 02:47 AM

P: 910

a_{0} + a_{1}x + a_{2}x^{2} + ... (a_{0} + a_{1}x + a_{2}x^{2} + ... )' = a_{1} + 2a_{2}x + ... It's as simple as that. 


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