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(b) Find a bound on the difference of sin(x) and x- x^{3}/6 + x^{5}/120 for x in [0,1]

This is a problem on a problem sheet that isn't for homework but there are NO solutions. Any help toward a solution would be appreciated.

- Thread starter meichberg92
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- #1

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(b) Find a bound on the difference of sin(x) and x- x^{3}/6 + x^{5}/120 for x in [0,1]

This is a problem on a problem sheet that isn't for homework but there are NO solutions. Any help toward a solution would be appreciated.

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Ray Vickson

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Use the formula for the error in a Taylor series after the nth term. It is widely available; just Google 'Taylors Theorem'.

(b) Find a bound on the difference of sin(x) and x- x^{3}/6 + x^{5}/120 for x in [0,1]

This is a problem on a problem sheet that isn't for homework but there are NO solutions. Any help toward a solution would be appreciated.

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