EXERCISE . . Write the Maclaurin’s series expansion of the following functions: (i) e x (ii) sin x (iii) cos x (iv) log( - x ; – ≤ x < (v) tan - x ; – ≤ x ≤ (vi) cos x . Write down the Taylor’s series expansion, of the function log x about x = upto three non-zero terms for x > .
. Expand sin x in ascending powers x − π upto three non-zero terms. . Expand the polynomial f ( x ) = x – x + in powers of x – .