Is there a limit to it?

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Find the value of 2-2+2-2+2-2.............................(infinitely many times)


The answer is 1.

Akshit Kumar by Akshit Kumar , 25, India

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1 solution

Pranshu Bhatnagar
Jan 10, 2014

2-2+2-2+2-2+2-2+2-2+2...∞ = 2(1-1+1-1+1-1+1-1+1-1+1...∞ ) Now 1-1+1-1+1-1+1-1+1-1+1...∞ is the famous Grandi Series The sum of which is commonly accepted to be 1/2. => 2((1-1+1-1+1-1+1-1+1-1+1...∞) = 1

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How can adding integers and subtracting integers get a fraction? Infinity is even because it can be divided by 2, and the sum at any even place (the second spot, 4th spot, etc.) is zero.

Finn Hulse - 7 years, 4 months ago

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