8.. Compute the power series centered at zero for f(x) = coshx in two different ways. a. Find the power series by using the standard approach for computing a Maclaurin series. Show all the derivatives and evaluation of derivatives clearly. Use the facts that cosh'(x) = sinh(x), sinh'(x)=cosh(x), cosh(0)=1 and sinh(0) = 0 rather than expanding the hyperbolic functions in terms of exponentials. b. Find the power series by using the standard power series for e*. and coshx=-(e² +e™²). Write the exponentials in the cosh function as series expansions, then clearly show the algebra as you simplify the sum of the two series. You should arrive at the same power series from part n! n=0 a. Recall that e* =

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A: Consider the provided information, f0=5,f'0=9 and f''0=-7. Write out the first four term of the…

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A: We will use well known maclaurin series in this question.

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A:

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A: