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Mathematics
Problem
Show that
1
4
+
2
8
+
3
16
+
4
32
+
5
64
+
⋯
=
1
\frac{1}{4} + \frac{2}{8} + \frac{3}{16} + \frac{4}{32} + \frac{5}{64} + \dots = 1
4
1
+
8
2
+
16
3
+
32
4
+
64
5
+
⋯
=
1
.
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