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Let f be a function that has derivatives of all orders for all real numbers. Assume f(0)=5, f'(0)=3, f''(0)=1, and f'''(0)=4. Write the thirddegree Taylor polynomial for h, where h(x) = integral of f(t)dt from 0 to x, about x=0 for … 
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The Taylor series about x=5 for a certain function f converges to f(x) for all x in the interval of convergence. The nth derivative of f at x=5 is given by f^(n) (5)= (1)^n(n!)/((2^n)(n+2)), and f(5)=1/2. Write third degree Taylor … 
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Find the Taylor series for f(x) centered at the given value of 'a'. (Assume that 'f' has a power series expansion. Do not show that Rn(x)>0.) f(x) = x3, a = 1 and what i've done so far: f (x) = x^3 f ' (x) = 3x^2 f '' (x) = 6x^1 … 
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how do i use a taylor series centered at some x value to approximate the value of the function centered at a different x value? 
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Hi Trying to work with confusing Taylor series....any assistance would be much appreciated!! How can I use T(x)=59((x2)^2)3((x2)^3) to approximate the f(0) ? 
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