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Let:

$$P\left( x \right) =x-\dfrac{1}{2{ x }^{ 2 }}+\dfrac{1}{3{ x }^{ 3 }}-\dfrac{1}{4{ x }^{ 4 }}$$

...be a 4th degree Taylor polynomial for the function $f$ about $x = 0$.

What is the value of $f’’’’(0)$?

A

$-\dfrac{1}{24}$

B

$-\dfrac{1}{4}$

C

$-1$

D

$-6$

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