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Using Taylor's series around x 0 = 0 , write a Matlab function that computes the functionf ( x ) = n = 0 (

Using Taylor's series around x0=0, write a Matlab function that computes the functionf(x)=n=0(1)nx2n(n!)2 with tolerance 1012. You are not allowed to use exponentiation, trigonometric, factorials or transcendental functions (will receive 0 if you do so). The function must be runnable when I copy and paste in Matlab (look the example in this module, you will receive 0 if it does not work). Below the program, write the output of f(0.5)andf(1)with at least 10 significant digits (hint: the function should equal to the Matlab function besselj(0,2*x)). Make sure your function does not output anything else than the final answer. You must show me the program running during office hours.

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