someone2301
29.01.2020 •
Mathematics
Express the function as the sum of a power series by first using partial fractions. f(x) = 8 x2 − 4x − 12 f(x) = ∞ n = 0 find the interval of convergence. (enter your answer using interval notation.)
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Ответ:
I'm guessing the function is
which, split into partial fractions, is equivalent to
Recall that for we have
With some rearranging, we find
valid for , or , and
valid for , or .
So we have
Taken together, the power series for can only converge for , or .
Ответ: