Question:

 The sum of the series 11.2−12.3+13.4−…..∞

Updated On: Aug 1, 2023
  • (A) 2loge 2 + 1 
  • (B) 2loge 2 
  • (C) 2loge 2 – 1 
  • (D) loge 2 – 1 
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The Correct Option is C

Solution and Explanation

Explanation:
s=11.2−12.3+13.4……∞=(11−12)−(12−13)+(13−14)=11−12−12+13+13−14−14+15…=11−22+23−24+25−…=2[11−12+13−14+15…]−1=2log⁡2−1
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