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