Find the Taylor polynomial T2(x) for the function f(x) = ln(1 + x) based at b = 0. T2(x) = Use the Quadratic Approximation Error Bound to bound the error |f(x) - T2(x)| on the interval I = [-1/3, 1/3]. Which of the following is true for all values of x in I? |f(x) - T2(x)| ≤ 0.0418 |f(x) - T2(x)| ≤ 0.2083 All of the above. None of the above.
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Find the Taylor polynomial T2(x) for the function f(x) = ln(1 + x) based at b = 0. T2(x) = Use the Quadratic Approximation Error Bound to bound the error |f(x) - T2(x)| on the interval I = [-1/3, 1/3]. Which of the following is true for all values of x in I? |f(x) - T2(x)| ≤ 0.0418 |f(x) - T2(x)| ≤ 0.2083 All of the above. None of the above.
![Find the Taylor polynomial T2(x) for the function f(x) = ln(1 + x) based at b = 0. T2(x) = Use the Quadratic Approximation Error Bound to bound the error |f(x) - T2(x)| on the interval I = [-1/3, 1/3]. Which of the following is true for all values of x in I? |f(x) - T2(x)| ≤ 0.0418 |f(x) - T2(x)| ≤ 0.2083 All of the above. None of the above.](https://www.doubtrix.com/uploads/editor/2180179679cRVQPXzcYq.jpeg)
![Find the Taylor polynomial T2(x) for the function f(x)=ln(1+x) based at b=0. Use the Quadratic Approximation Error Bound to bound the error |f(x)−T2(x)| on the interval I=[-1/4, 1/4] Which of the following is true for all values of x in I? a. |f(x)−T2(x)| ≤ 0.0124 b. |f(x)−T2(x)| ≤ 0.0617 c. All of the above. Please provide explanation.](https://www.doubtrix.com/uploads/editor/8030488171RTHmnhvZTO.png)
![Find the second Taylor polynomial T2(x) for the function f(x) = sin(x) based at b = 0. T2(x) = Use the Quadratic Approximation Error Bound to bound the error |f(x) - T2(x)| on the interval I = [-0.8, 0.8]. True or False? |f(x) - T2(x)| ≤ 0.8^3/3! for every x in I. True. False.](https://www.doubtrix.com/uploads/editor/5856011725QWKmCDeJCV.png)
![Find the second Taylor polynomial T2(x) for the function f(x) = e^x/4 based at b = 0. T2(x) = Use the Quadratic Approximation Error Bound to bound the error |f(x) - T2(x)| on the interval [-1, 1]. True or false: The Quadratic Approximation Error Bound indicates that |f(x) - T2(x)| ≤ 0.001672 for all x in I. True False](https://www.doubtrix.com/uploads/editor/1800175983gzlhCmvYQu.png)