Find the Taylor Series of f(x) = sinh(x +1) centered at a= 1. Find the interval of convergence. Show all necessary steps. Note that e-e- cosh(x) = e +e= %3D sinh(x) = . %3D

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Q: Find the taylor series of f(x) = sinh(x+1) centred at a = 1 find the interval of convergence

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A: f(x)=e-4xf-14=ef'(x)=-4e-4xf'-14=-4ef''(x)=16e-4xf''(-14)=16ef'''(x)=-64e-4xf'''(-14)=-64e

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Q: Find the Taylor series centered at x for the given function. f (x) = cos(4x) = COS

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Q: 2) What is the Taylor series expansion of the (a) sine function using a base point of 0,,, and ?

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A: To find the Taylor series of the given function centered at the indicated point.sinx  at  x=π2