question archive the nth Taylor polynomial Tn(x) for f(x)=ln(1-x) based at b=0? Find the smallest value of n such that Taylor's inequality guarantees that |Tn(x)-ln(1-x)|<0

the nth Taylor polynomial Tn(x) for f(x)=ln(1-x) based at b=0? Find the smallest value of n such that Taylor's inequality guarantees that |Tn(x)-ln(1-x)|<0

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the nth Taylor polynomial Tn(x) for
f(x)=ln(1-x) based at b=0?

Find the smallest value of n such that Taylor's inequality guarantees that
|Tn(x)-ln(1-x)|<0.01 for all x in the interval I=[-1/2,1/2]

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