6. For each function given in (a) and (b) below expand its series about a=0 with...

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6. For each function given in (a) and (b) below expand its series about a=0 with the first four 1 x nonzero terms displayed: (a) (b) (cos x)²; and for (c) expand it with (1-x)(1-2x) sin x 1 the first three nonzero terms displayed. For each series, mention for which x the series is valid. 6. For each function given in (a) and (b) below expand its series about a=0 with the first four 1 x nonzero terms displayed: (a) (b) (cos x)²; and for (c) expand it with (1-x)(1-2x) sin x 1 the first three nonzero terms displayed. For each series, mention for which x the series is valid.