Question: In Python sin(x) = 2_mx using derive a Taylor series for sin(x2) around x = 0 a. (3pts) Write a code which computes the Taylor

In Python sin(x) = 2_mx using derive a Taylor series for

In Python sin(x) = 2_mx using derive a Taylor series for sin(x2) around x = 0 a. (3pts) Write a code which computes the Taylor series of sin(x) using recursion and a tolerance based while loop approach b. (4pts) On the interval [O, ], plot the semi-log error in your approximation for tolerance values 10 4. 10-6, and 10-8 C. (3pts) Describe your graphs and comment on any trends you observe. In Python sin(x) = 2_mx using derive a Taylor series for sin(x2) around x = 0 a. (3pts) Write a code which computes the Taylor series of sin(x) using recursion and a tolerance based while loop approach b. (4pts) On the interval [O, ], plot the semi-log error in your approximation for tolerance values 10 4. 10-6, and 10-8 C. (3pts) Describe your graphs and comment on any trends you observe

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