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$The sum of the infinite series \frac{5}{13} + \frac{55}{13^{2}} + \frac{555}{13^{3}} + \dots is$

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Correct option is C

let S=513+55132+555133+….−−--1 S13=5132+55133+.....-----21−2⇒1213S=513+50132+500133+…r=10/13S=1312×5131-1013 sum of infinite terms in G.P=a1-r=65/36

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The sum of the infinite series 513+55132+555133+… is

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$The sum of the infinite series \frac{5}{13} + \frac{55}{13^{2}} + \frac{555}{13^{3}} + \dots is$