Word Count : 254

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हम दिए गए समीकरण को गणितीय आगमन (Mathematical Induction) के सिद्धांत द्वारा प्रमाणित करेंगे। ### कथन (Statement): \[ S(n): \frac{1}{1\cdot 2} + \frac{1}{2\cdot 3} + \dots + \frac{1}{n(n+1)} = \frac{n}{n+1} \] #### चरण 1: आधारभूत चरण (Base Case) जब \( n = 1 \) हो, तो बाएँ पक्ष: \[ \frac{1}{1 ___ _______ __________ ________ ______ ________ __________ ___ __________ _________.
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