anonymous
  • anonymous
Use summation given below to find a function that it represents
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\sum _{n=1}^{\infty } \text{nx}^n\]
anonymous
  • anonymous
\[x/(x-1)^2\]
anonymous
  • anonymous
how did you get it?

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anonymous
  • anonymous
give me a second
anonymous
  • anonymous
I will post this question again
anonymous
  • anonymous
anything?
anonymous
  • anonymous
yeah, sorry, busy busy, here it goes
anonymous
  • anonymous
\[\sum_{1}^{∞}n x ^{n} = x * \sum_{1}^{∞}n x ^{n-1} = x * d/dx[\sum_{1}^{∞} x ^{n}] = x * d/dx[1/(1-x)] = x/[(1-x)^{2}]\] Excuse me for the poor formating but the website doesn't offer much of choice. The star (*) stands for multiplication. Thanks.
anonymous
  • anonymous
Hey there's one catch: correct this: \[x * d/dx[\sum_{0}^{n} x ^{n}]\] Because when we differentiate, n->0 not n->1 Thanks

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