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Use the general binomial series to get ##\sqrt{1.2}## up to 2 decimal points

In the solution the ##R_1## was given as

##|R_1|\leq {\frac{1}{8}} {\frac{(0.2)^2}{2}}## But it doesn't say where this came from and comparing this with the estimate of remainder given in Taylor's theorem didn't help. Another thing that was frustrating was that the solutions for the end-of-chapter exercises was somewhat different what the book said for example they didn't include the n+1 factorial in the estimates of the remainder.

Please help this is driving me crazy.