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(1-ax) ^ { \frac { 2n+1 } { 2 } } } { 2 ^ { 2n-1 } (n-1)! } ] , [tex: n \in \mathbb { Z } ^ + ] b, Show that the Maclaurin series (not the Taylor series) for f(x) up to an including the [tex: x ^ 2 ] term is [tex: 1 + \frac { 1 } { 2 } ax + \frac { 3 } { 8 } a ^ 2 x ^ 2 ] c, Show that [tex: (1-2x) ^ { - \frac { 1 } { 2 } } (1-4x) ^ { - \frac { 1 } { 2 } } \approx \frac { 2+6x+19x ^ 2 } { 2 } ] d, Knowing that...