Use the definition of Taylor series to find the Taylor series, centered at c, for the function. f(x) = sin x, c = 3π/4
1 answer:
Answer:
Step-by-step explanation:
Given
Required
Find the Taylor series
The Taylor series of a function is defines as:
We have:
This gives:
We have:
Differentiate
This gives:
We have:
Differentiate
This gives:
We have:
Differentiate
This gives:
So, we have:
becomes
Rewrite as:
Generally, the expression becomes
Hence:
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