6. (a) Find a power series expansion for f(r) = e-". Then, use the first 4 nonzero terms in your power series to estimate the value of fo e-2 dr. Show all of your work, and circle your final answer.

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ISBN:9780470458365
Author:Erwin Kreyszig
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6. (a) Find a power series expansion for f(x) = e-2*. Then, use the first 4 nonzero terms in your power series
to estimate the value of fo e-2" dx. Show all of your work, and circle your final answer.
Transcribed Image Text:6. (a) Find a power series expansion for f(x) = e-2*. Then, use the first 4 nonzero terms in your power series to estimate the value of fo e-2" dx. Show all of your work, and circle your final answer.
(b) Use the principle of alternating series estimation to estimate the maximum possible error in your answer
to part (a). Show your work, and circle your final answer.
Transcribed Image Text:(b) Use the principle of alternating series estimation to estimate the maximum possible error in your answer to part (a). Show your work, and circle your final answer.
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