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Find the first three nonzero terms of the Taylor expansion for the given function and given value of a. $$\ln x \quad(a=3)$$

$f(x)=\ln 3+\frac{1}{3}(x-3)-\frac{1}{18}(x-3)^{2}+\cdots$

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 nonsense terms off the Taylor series for the given function. A formal office Tillerson is generated by If he's some off cape before 20 to Infinity. The case dirty off if zero divided by K Factorial, Times Explorer Kate Let's first find if it F zero so we replace Exploit zero it. But if and we have, If zero is according to one, then we are supposed to find the first derivative off. If at zero, it is a call to tree on the second day, we give off. F zero is 1/4 12 on the 3rd 1 is a courtroom 60 based on their formula. The Taylor series Off the function one minus X over minus three. He's been called to a zero plus if crime off zero kinds. Eggs, plus the second derivative off. If I had zero divided by two for courier kinds exist world class. The tear primitive octave at zero, divided by three factory all kinds excuse. After simply flying, we have the 1st 400 grams off the Taylor series for the given function. Hope you enjoyed watching this video, and thanks for watching

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