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Q.

Let S=419+44192+444193+…. upto ∞. Then S is equal to

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a

40/9

b

38/81

c

36/171

d

81/38

answer is B.

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Detailed Solution

S=419+44192+444193+.....⇒119S=4192+44193+..... Substracting (2) from (1), we get 1819S=419+40192+400193+….=4191−1019=4/9⇒S=38/81

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