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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

السؤال

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3 Consider the function f(x) = cos(x) + sin(x). We are planning to approximate this function at x= (0.05 +N1/10) radians about a= N1/5. a) Using the remainder of the series estimate how many terms would be necessary to approximate it up with an error less than 10%. b) For the number of the terms you found in part (a) calculate the value of the function using Taylor series. c) Calculate the true error by calculating the exact solution using your calculator. Was the remainder formula successful in estimating the number of terms? Explain

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