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If the sum of the series 2+5x+25x2+125x3+ is finite, then

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a
x>5
b
-5
c
x<5/2
d
x>5/2

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detailed solution

Correct option is A

We can rewrite the series as1+1+5x+5x2+5x3+…We can sum up this series if 5x<1⇔|x|>5


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