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Dick

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(.3)^4/4! is not equal to 2.03e-10. What form of the remainder term are you using?

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Okay, it should be (.3)^5 / 5!

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But i still dont get it, why did i get hte right answer and ignore the f^(n+1)(c) of the formula? (Lagrange error bound) The derivative should have been cos , so i must have picked cos 0. Why?

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HallsofIvy

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The error does NOT involve f^(n+1)(c). It involves f^(n+1)(x) for some number between 0 and c (here .3). Since you don't know that number, you use the largest possible value of f^(n+1)(x) between 0 and c to get an upper

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