Which of the following is the Maclaurin series for ?

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

Problem

Which of the following is the Maclaurin series for

\frac{1}{1 - x}

? (a)

1 - x + x^{2} - x^{3} + \cdots

(b)

1 + x + x^{2} + x^{3} + \cdots

(c)

x + x^{2} + x^{3} + \cdots

(d)

1 + 2x + 3x^{2} + 4x^{3} + \cdots