Question: 1 (a) Find the Maclaurin series for the function f(x) = - 1 + x xe, find an expansion of (b) to show that

1 (a) Find the Maclaurin series for the function f(x) = -

1 (a) Find the Maclaurin series for the function f(x) = - 1 + x xe, find an expansion of (b) to show that 1=-=+x e 00 0 1 1+ e* n=1 -dx = (1)+ n directly and hence deduce the value of in powers of ex. (c) Use the series you got in . (-1)"+1 n n=1 (b) By substituting 00 (d) Evaluate the integral I 0 e 1+e -dx

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