The function is expanded as a power series about

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

The function h(x)=x2+31−2xh(x)=\dfrac{x^{2}+3}{1-2x} is expanded as a power series about x=0x=0. What are the first three non-zero terms of this series? (a) 3+6x+12x23+6x+12x^{2} (b) 3−6x+13x23-6x+13x^{2} (c) 3+6x+13x23+6x+13x^{2} (d) 3+4x+13x23+4x+13x^{2}

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