A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the b
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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.