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I'm new here, nice to meet you guys i was in class today and just didn't understand the taylor polynomial approximation, the professor started out approximating a function by polynomials of degree N, he first showed us how a linear polynomial was a crude approximation of the function at a given point but thing i dont get is when he moved on to the next approximation by using the first derivative, than the second....i just didnt get why the final formula added up all the approximations together?...

I just didnt get why like we had to sum up all the approximations rather than just making a formula for the last approximation of the function?...if im not making any sense im sorry but if you guys can explain the taylor polynomial a bit better i would greatly appreciate it.

Thanks,

Moe.

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# Taylor Polynomial Approximations.

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