Taylor series is 
To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have
f(x) = ln(x)

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Since we need to have it centered at 9, we must take the value of f(9), and so on.
f(9) = ln(9)

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Following the pattern, we can see that for
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This applies for n ≥ 1, Expressing f(x) in summation, we have

Combining ln2 with the rest of series, we have

Taylor series is 
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Answer:
19
Step-by-step explanation:
Answer:
The inequality for this would be n ≥ 20.
We know this because it must be larger than 40. We also know it can possibly be equal because the statement says "at least".
Step-by-step explanation:
Answer:
pi
Step-by-step explanation:
To convert from degrees to radians, we multiply by pi/180
180 * pi/180 = pi