3 years ago

If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours.

Mathematics

2 answers:

Andreas93 [3]3 years ago

7 0

I think the answer is D, I've been told it's D by many people.

OlgaM077 [116]3 years ago

7 0

Answer:

d. 1/8(5)

Step-by-step explanation: just took the test

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If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

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Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n$

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$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}$

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$\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}$

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