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## Homework Statement

let a[itex]_{i}[/itex]=x[itex]^{i}[/itex] and b[itex]_{i}[/itex]=1[itex]\div[/itex] i ! and c[itex]_{i}[/itex]=(-1)[itex]^{i}[/itex] and suppose that i takes all interger values from 0 to ∞. calculate a[itex]_{i}[/itex]b[itex]_{i}[/itex] and calculate a[itex]_{i}[/itex]c[itex]_{i}[/itex]

## Homework Equations

i know that in suffix notation a[itex]_{i}[/itex]b[itex]_{i}[/itex] is the same as the dot product as when you have to of the same subscripts you take the sum of a[itex]_{i}[/itex]b[itex]_{i}[/itex] from i=1 to i=3 but i am not really sure

of how to use the part where it says take interger values of i from 0 to ∞ an explanation would be great .

thanks.