Problem 50 suggests that if n is even, then the nth order Maclaurin polynomial for cos x is also the (n + 1)st order polynomial, so the error can be calculated using Rn+1. Use this result to find how large n must be so that |Rn+1(x)| is less than 0.00005 for all x in the interval 0 ( x (
Problem 50 suggests that if n is even, then the nth order Maclaurin polynomial for cos x is also the (n + 1)st order polynomial, so the error can be calculated using Rn+1. Use this result to find how large n must be so that |Rn+1(x)| is less than 0.00005 for all x in the interval 0 ( x ( (/2. (n must be even.)?
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