+0  
 
0
69
3
avatar

Compute

\[1 \cdot \frac {1}{2} + 2 \cdot \frac {1}{4} + 3 \cdot \frac {1}{8} + \dots + n \cdot \frac {1}{2^n} + \dotsb.\]

Guest Apr 22, 2018
 #1
avatar
0

Sorry, cannot read your "LaTex"!!.

Guest Apr 22, 2018
 #2
avatar+3023 
+1

Latex: \(1 \cdot \frac {1}{2} + 2 \cdot \frac {1}{4} + 3 \cdot \frac {1}{8} + \dots + n \cdot \frac {1}{2^n} + \dotsb.\)

tertre  Apr 22, 2018
 #3
avatar
0

You can sum it up on the calculator here and it converges to 2.

Guest Apr 22, 2018
edited by Guest  Apr 22, 2018

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