Evaluate a Power Series Integral by Alternating Series Estimation Theorem

[nasi112]

@nasi112
Please see attached pdf.

I have read your file. How can the error is just the difference between the two?

 

[lex]

I have read your file. How can the error is just the difference between the two?

That's what error means: the difference between the estimated and the true values
You are perhaps confusing it with the 'relative error', which is the error/true

 

[nasi112]

That's what error means: the difference between the estimated and the true values
You are perhaps confusing it with the 'relative error', which is the error/true

lol
Then, you win lex.

It is nice to understand my mistakes. Thanks lex for the clarification

 

[lex]

It's not about winning!!
A few comments on the example you sent before.

 

[nasi112]

It's not about winning!!
A few comments on the example you sent before.
View attachment 27310
View attachment 27311

Thanks a lot, lex. by solving more examples, everything will be more clear. But I don't understand why my calculus book does not have examples of power series estimation, or maybe I have not read all sections completely.

 

[lex]

But I don't understand why my calculus book does not have examples of power series estimation

Yes that is strange. At least they appear in other books.