anonymous
  • anonymous
what if the calculation continued forever Calculate: 1+(1/1)+(1/1x2)+(1/1x2x3)+(1/1x2x3x4)+... +...+...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@satellite73
anonymous
  • anonymous
no idea is there a method you are supposed to use?
anonymous
  • anonymous
i believe its eulers formula

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anonymous
  • anonymous
\[1+\frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+...\] like that?
anonymous
  • anonymous
yes
anonymous
  • anonymous
oh , it is \(e\)
anonymous
  • anonymous
yes
anonymous
  • anonymous
if you replace \(1\) by \(x\) that is the expansion of \(e^x\)
anonymous
  • anonymous
could you please show it to me
anonymous
  • anonymous
\[e^x=\sum_{n=0}^{\infty}\frac{x^n}{n!}\]
anonymous
  • anonymous
so \[e^1=\sum_{n=1}^{\infty}\frac{1}{n!}\]
anonymous
  • anonymous
is that the formula?
anonymous
  • anonymous
that is the power series expansion for \(e^x\) yes
anonymous
  • anonymous
sweet
anonymous
  • anonymous
that is a very very common and famous one easy to remember too, so memorize it
anonymous
  • anonymous
so how can we find the answer?
anonymous
  • anonymous
i still dont know how to compute it
anonymous
  • anonymous
i mean how do you compute the part on your right hand side?

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