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expand (x^2+2x)/(2x^2+1) in ascending powers of x up to and including the term in x^5. state the range of values of x for which this expansion is valid. find, in the simplest form, the coefficient of x^2017 in this expansion

(i) by substituting x=2/3, use the series expansion of (1-x)/sqroot(4+3x) in ascending powers of x, up to and including the term in x^3, to find an approximate value of sqroot6 in the form of a fraction. (ii) state the range of values of x for which the s...