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CGP EDU Academic Team
Published on: August 11, 2026
Prove that C 0 + 
...........+ 
= 
Text Solution
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Sol. Let (1+x) n = C 0 + C 1 x + C 2 (x 2 /2) + ---- C n x n /n
Integrating both sides (0–1)
= 
= 
⇒ C 0 + C 1 /2 + C 2 /3 + ....... + C n / x + 1 = 2 n+1 – 1/n + 1
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