Prove that (i) ex1x=12x+12x2720x4+ (ii) ex+1x=2x4x2+48x4 Write down the expansions of (i) cosx and (ii) 1+x1, and hence show that 1+xcosx=1x+2x22x3+2413x4 If x is small, show that (i) (1x1+x)1+x+2x2 By the use of Maclaurin's series, show that sin1x=x+6x3+403x5+