Question: taylor series and derivatives

Suppose that a function f  has derivatives of all orders at a.  The the series


∑=(f(k)(a)/(k!))*(x−a)^k (limits are infinity and k=0, i donot how to insert that)

is called the Taylor series for f  about  a, where  f(n) is the n th order derivative of  f.


Suppose that the Taylor series for e2 x sin(5 x) about 0 is



Enter the exact values of a0 and a8  in the boxes below.

      a0=   Preview   

     a8=   Preview   

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