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8 solutions
@Nihar Mahajan it was very* n = 1 ∏ ∞ ( 1 − n 1 ) tough. :P
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Still 23 people got scared and 6 people got it wrong. (till now) :P
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What?! I thought this would have 100% solvers.
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@Aditya Kumar – To be honest , to prove that a × 0 = 0 ∀ a ∈ R is not that obvious ;)
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@Nihar Mahajan – Yes. I feel some people may not be knowing about the product symbol.
@Aditya Kumar – There may be some people who don't know that something real when multiplied by zero gives zero. xD
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@Nihar Mahajan – Or thy are not getting inspired as you
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@A Former Brilliant Member – still this question has 25 points ! when i solved it , I got free 100 points ...
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@A Former Brilliant Member – Wow , So much lucky! You are so much rich. I wish I would be as lucky as you.
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@Nihar Mahajan – Rich ? in terms of points I am behind you
@Nihar Mahajan – I got only 25. So sad. :'(
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@Aditya Kumar – Don't worry we have Chinmay Sangawadekar as the luckiest guy even in this world.He got 100 points free OMG! That was a miracle.What a luck!
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@Nihar Mahajan – Then what about you ?
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@A Former Brilliant Member – If problem poster got some points for every problem he posted , I would have been a billionaire by now. -_-
@A Former Brilliant Member – To whom exactly you are talking to? (Don't say myself)
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@Nihar Mahajan – You !!! you got inspired that means you know the concept ...
@Nihar Mahajan – 1st inspirational problem is easy
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@A Former Brilliant Member – All problems are easy.
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@Nihar Mahajan – Have you seen 'Hydra' ?
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@A Former Brilliant Member – Yeah , I have seen it.It is a is a genus of small, simple, fresh-water animals that possess radial symmetry. It has regenerative capacity and they reproduce by budding.
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@Nihar Mahajan – Friend, I am talking about the 400 points problem..
Nihar...can u explain me in detail about that..'pie' one thing ....what we call it??.....and what does this indicates??
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@A Former Brilliant Member – @Abhay Kumar "pi" is used for product. Just as "sigma" is used for sum, "pi" is used for product.
@A Former Brilliant Member – It means continued product.
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@Nihar Mahajan – X=(10^21-9^17)/(10^14-9^11) find range of x
@Nihar Mahajan – Ok thanks...
Level 2 : 935 views (100%) 494 attempts (53%) 387 solvers (41%)
too much of inspiration...
i just viewed the sol bcoz i didn't think that it waz sooo easy
nursery grade problem😜
Can anyone compute the answer if sigma is present instead of pi.. i.e. if we have to calculate the sum instead of product??
Since the first term is 0, it doesn't matter what the rest are because 0*any real number equals 0
You can't fool me! HaHa. Zero spoils everything
Simply, if we simplify it, we get the first term as (1-1) that is 0. So the product will be again a 0
It's simple if (1-1)=0 therefore the whole term will be zero
You gotta be kidding even a kid could have figured that outout
The first factor is zero, so this is easy. But we also have n = 2 ∏ ∞ ( 1 − n 1 ) = 0 . . . Right?
For n = 2 ∏ ∞ ( 1 − n 1 ) = 0 . . . , the limiting value is 0
∏ n = 1 ∞ ( 1 − n 1 ) = ( 1 − 1 ) ( 1 − 2 1 ) ( 1 − 3 1 ) . . . . . . = 0 × 2 1 × 3 2 . . . . . = 0