Finding the number of Taylor terms given an error bound

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Hi, I'm having trouble doing my work where I have to find the Taylor Approximation of function. My real work is the program this thing when the function, x, a, and ErrorBound is given. I don't knwo what to do with the ErrorBound to get n, where n is the number of terms. do i make any sense?? :rolleyes:
 
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What is the function you're trying to get a taylor series approximation for?
 
none... I'm programming it... its suppose to find any function