For ck(x-a)^k
R = limck/c(k+1) or solve limc(k+1)/ck < 1
Where k+1 is the subscript of ck
This guarantees convergence |x-a| < R
or a-R < x < a+R
check x =a-R, a+R in the original for convergence to determine Interval of conv
This series is convergent from x=? to x=?
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This series is convergent from x=? to x=?
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c3=?
The radius of convergence is R=?
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The Taylor series for at is
Find the first few coefficients.
c0=?
c1=?
c2=?
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Please Help,
Thank You