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Find the first three nonzero terms of the Taylor expansion for the given function and given value of a. $$\frac{1}{x} \quad(a=2)$$

$f(x)=\frac{1}{2}-\frac{1}{4}(x-2)+\frac{1}{8}(x-2)^{2}-\cdots$

Calculus 2 / BC

Chapter 30

Expansion of Functions in Series

Section 5

Taylor Series

Series

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In this video, we find the 1st 4 non zero terms off the Taylor series for the Given puncheon. The character is generated by F. He's raison Katie called zero to Infinity. The case derivative off F zero divided multi factorial Times Explorer Kate. We have rip off syriza Quarter one. The second became off. Generally called three over to 4 71 0 Usually call to 9/4 6 ever give off at zero is equal to minus 45 divided by eight. A case there. Everything off zero is equal to zero for tae kwon, who want three and five based on the formula that Taylor says for the function. One plus x x squared, divided by two Poverty tree over to easy. Who are you? Bob? Zero plus the secondary give off EMF divided by two factorial times x squared. They forced everything off if zero divided for 5 30 Old times Explorer for Onda. 60 people off finds, you know, divided when she's factorial Times Expo Over six. After she vilifying, we have the first for longer terms off the Taylor. Sorry for the given function. Have you enjoyed watching this video? And thanks for watching

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Find the first four nonzero terms of the Taylor series for the functions.

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