| QUESTION 6 | |||||||||||||
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| Let f be the function given by f(x) =sin(5x+pi/4) and let P(x) be the 3rd degree Taylor polynomial for f about x=0. a. Find P(x) Find the coefficient of x^22 in the Taylor series for f about x=0 c. Use the Lagrange error bound to show that absolute value of (f(1/10)-P(1/10))<1/100 d. Let G be the function given by G(x)= integral from 0-x of f(t)dt. Write the 3rd degree Taylor polynomial for G about x=0. |
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