Test Convergence of series x +2x^2+3x^3 upto infinite
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Answer:
Let S=1+2x+3x
2
+4x
3
+... (i)
xS=x+2x
2
+3x
3
+... (ii)
(i)-(ii) ⇒ (1−x)S=1+x+x
2
+x
3
+...
or S=
(1−x)
2
1
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