GabbyGood1072

05.05.2020 • 

Mathematics

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] f(x) = 4x − 3x3, a = −2 [infinity] f n(−2) n! (x + 2)n n = 0 = 16 − 32(x + 2) + 18(x + 2)2 − 3(x + 2)3 [infinity] f n(−2) n! (x + 2)n n = 0 = 16 − 32(x + 2) + 3(x + 2)2 − 18(x + 2)3 [infinity] f n(−2) n! (x + 2)n n = 0 = 16 + 32(x + 2) + 18(x + 2)2 + 3(x + 2)3 [infinity] f n(−2) n! (x + 2)n n = 0 = 16 − 18(x + 2) + 32(x + 2)2 − 3(x + 2)3 [infinity] f n(−2) n! (x + 2)n n = 0 = 16 + 32(x + 2) + 3(x + 2)2 + 18(x + 2)3 Find the associated radius of convergence R.

Ответ:

34df

23.04.2021

Mathematics

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To find A∩B, you need to find the values that both data sets include, or where they overlap. Both data sets include the number range of 0 to 3. Because both data sets include 0, but set A does not include 3, the answer is [0, 3).

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