f(x) = 2 / x+3
taylor series polynomial out to the 6th degree
(P6) = (5/8) - (1/8)x + (1/32)(x-1)² - (1/128)(x-1)^3 + (1/512)(x-1)^4 - (1/2048)(x-1)^5
Problem:
find the value of x for which the polynomial converges to f(x)?
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I have no idea how/ what i should do in order to get this awnser..any help/advice is greatly appreciated! thx
Let me respond with a question.
1st are you asking what the raduis of convergence of the power series is? if so the radius of convergence does not depend on where you truncate the series. However the further from the center you may have to take more terms to get a specified accuracy.
2nd or are you asking to find a specific value(s) of such that