While expanding log (1+x) as a infinite sum using maclaurin series, i understand that i need to satisfy the condition that lagrange's form of remainder Rn limits to zero as n limits to infinity.
but how to take up the cases for x such that above condition is satisfied? i tried considering positive and negative cases but not getting anything, any hint would be highly appreciated.
PS: please guide me how to put my doubts clearly as I'm unable to post any new questions because as per stack exchange i need to improve the questions asked so far and I don't want to open a new account to ask new questions.
You are probably referring to the Mercator Series and its convergence radius.