Using Newton's Method, what is the formula for determining the nth term in a sequence of approximations to a solution of a polyn
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In this question (brainly.com/question/12792658) I derived the Taylor series for about
:
Then the Taylor series for
is obtained by integrating the series above:
We have , so
and so
which converges by the ratio test if the following limit is less than 1:
Like in the linked problem, the limit is 0 so the series for converges everywhere.