Write the Taylor series for f(x)=sin⁡x about x=π/2. Find the first 5 coefficients.

Опубликовано: 19 Сентябрь 2026
на канале: Math Problems Solved Craig Faulhaber
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Here's a good Calculus 2 problem. We find a Taylor Series for a function that isn't centered at zero. We need to calculate derivatives and function values to do this.


Write the Taylor series for f(x)=sin⁡x about x=π/2 as ∑_(n=0)^∞ c_n (x−π/2)^n
Find the first 5 coefficients.