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calculus

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Find the linearization of the function below at x = π/3.?

y=sin(x)/x

Your answer should be a linear function of x where the coefficients are accurate to at least two decimal places. You can enter π in your answer as "pi" (without the quotes).

I am not able to figure out how to find the answer. I tried couple times but it is showing incorrect. Please help me.. Thank you.

  • calculus - ,

    linearization.

    f(x)=f(a)+f'(a)(x-a)

    Well, f(a)=cos PI/3
    f'(a)=-sin(PI/3)

    f(x)=cosPI/3-sin(PI/3)*(x-PI/3)

    find with your calculator cosPI/3, and sin PI/3 and you have your linear equation.

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