1 (a) Find the Maclaurin series for the function f(x) = - 1 + x xe,...

Transcribed Image Text:

1 (a) Find the Maclaurin series for the function f(x) = - 1 + x xe, find an expansion of (b) to show that 1=-=²+²x e 00 0 1 1+ e* Σ n=1 -dx = (−1)”+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 1 (a) Find the Maclaurin series for the function f(x) = - 1 + x xe, find an expansion of (b) to show that 1=-=²+²x e 00 0 1 1+ e* Σ n=1 -dx = (−1)”+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

Answer rating: 100% (QA)

The detailed ... View the full answer