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jchse4365
01.08.2019 •
Mathematics
Consider the function ƒ(x) = eˣ
(a) differentiate the taylor series about 0 of ƒ(x)
(b) identify the function represented by the differentiated series.
(c) give the interval of convergence of the power series for the derivative.
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Ответ:
a) The Taylor series expansion of
about
is
Differentiating the expansion with respect to 'x' we get
b)
As we can identify from the expansion calculated above we have
c)
The interval of convergence of the given power series is
Ответ:
A
i faild the first quiz but the second got 100