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$Let S = \frac{4}{19} + \frac{44}{19^{2}} + \frac{444}{19^{3}} + \dots . upto \infty . Then S is equal to$

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Correct option is B

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

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Ready to Test Your Skills?

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$Let S = \frac{4}{19} + \frac{44}{19^{2}} + \frac{444}{19^{3}} + \dots . upto \infty . Then S is equal to$