Taylor series just one question pretty easy one thanks(not answer/solution)

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Homework Statement


how to you find like the answer for f(1.5), or f(1.00001) those kind of question? thanks

with like eq. = f(b)(x-b)... am i making sense? thanks
 
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You aren't being very specific. You write the taylor series for f(1+x) and put x=0.5 or x=0.00001. Does that make sense?
 


Dick said:
You aren't being very specific. You write the taylor series for f(1+x) and put x=0.5 or x=0.00001. Does that make sense?

and then do i do like f(1)+f'(1)(0.5)+f''(1)(0.5)^x/(2!)... like that?

thanks!
 


Exactly. It's f'(1)(0.5)^2/(2!), but I think you knew that.
 


Thanks!
 
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