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Mathematics
Mathematics
Problem
Which of the following is the Maclaurin series for
1
1
−
x
\frac{1}{1 - x}
1
−
x
1
? a)
1
−
x
+
x
2
−
x
3
+
⋯
1 - x + x^{2} - x^{3} + \cdots
1
−
x
+
x
2
−
x
3
+
⋯
b)
1
+
x
+
x
2
+
x
3
+
⋯
1 + x + x^{2} + x^{3} + \cdots
1
+
x
+
x
2
+
x
3
+
⋯
c)
x
+
x
2
+
x
3
+
⋯
x + x^{2} + x^{3} + \cdots
x
+
x
2
+
x
3
+
⋯
d)
1
+
2
x
+
3
x
2
+
4
x
3
+
⋯
1 + 2x + 3x^{2} + 4x^{3} + \cdots
1
+
2
x
+
3
x
2
+
4
x
3
+
⋯
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