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True or False: 1/0! + 1/1! + 1/2! + 1/3!.... = 0/0! + 1/1! + 2/2! + 3/3!....

+1 vote
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True or False:

1/0! + 1/1! + 1/2! + 1/3!.... = 0/0! + 1/1! + 2/2! + 3/3!....

share your working?

posted Jan 9, 2018 by anonymous

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1 Answer

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0/0! + 1/1! + 2/2! + 3/3!.... = 0 + 1*1/1*0! + 2*1/2*1! + 3*1/3*2!.... = 0 + 1/0! + 1/1! + 1/2!........
similarly for
0/0! + 1/1! + 2/2! + 3/3! + 4/4!.... = 0 + 1*1/1*0! + 2*1/2*1! + 3*1/3*2! + 4*1/4*3!.... = 0 + 1/0! + 1/1! + 1/2! + 1/3!........ = L.H.S

answer Jan 9, 2018 by Tejas Naik



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