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so when I have \[\sum_{n=1}^{\infty}a_nnx^n=a_1+\sum_{n=2}^{\infty}a_nnx^n\]
but it's not n=0? Why?

I'm trying to start at n=0

\[\sum_{n=1}^{\infty}a_nnx^n \rightarrow \sum_{n=0}^{\infty}a_nnx^n\]

Well do you need to start at 0? because if you want n = 0 you can just make it at the bottom n = 0

why though?

why is that all I need to do?

\[\sum_{n =0}^{\infty}\]

because in your equation it would work for not getting an answer anyway

no

:(

it's right the left part

but if you made that n = 0

on the left and n= 1 on the right

it would be \[\alpha _{0}*0*x^0\]

OMG! I think something just clicked!

Yeah, you see where im going with it

no wait, just a second

You can have it start at 0.. but it doesnt change anything if you start at 1 in this case

\[\sum_{n=0}^{\infty}a_nnx^n=0\]

it's like putting 0 + \[\sum_{n=1}^{\infty} (insert rest here)\]

for n = 0

I'm honestly trying hard to get this...I think we're almost there...sorry =/

\[\sum_{n=0}^{\infty}a _{n}nx ^{n} = 0 + \sum_{n=1}^{\infty}a _{n}nx ^{n}\]

using the rule that 0 multiplied by anything is 0

Thank you, finally!

Lol it's ok, glad i could help