Please tell me how you would find the answer for the following,

$\large{\sqrt { x+\sqrt { \frac { { x }^{ 2 } }{ 2 } +\sqrt { \frac { { x }^{ 3 } }{ 3 } +\sqrt { \frac { { x }^{ 4 } }{ 4 } +\cdots \cdots \cdots } } } } }$

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@Chew-Seong Cheong , @Tanishq Varshney , @Sharky Kesa , @shivamani patil , @Pranjal Prashant , @Pranjal Jain, @Calvin Lin , @Utsav Bhardwaj .

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Please limit your tags to at most 5 people.

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hey buddy answer key of big bang is out.how much are u getting not too good here 793/831

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please reply fast

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BEkar 727/831, Sari galti vhemistry itne sare nahi kiye.

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whats big bang here??

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@Otto Bretscher

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solution?

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No solution yet! Big bang is a test of FIITJEE

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@Michael Mendrin please you may be able to help me with this. thanks

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@Aditya Kumar

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Give me a week. I'll try to come up with a method if it exists. @Ishan Singh is awesome at handling infinity.

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Thanks but please do remember. and I don't have a solution it's just my brain that came up with.

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just like the integrals of a lot of functions,they exist,but we didn't name a function for them and the integral can't be expressed using the elementary functions we know($\sin,\cos,\tan,\ln,x^a....$),so this problem may be technically solvable,but it won't be the usual "solving" it would be creating a new function,

correct me if i'm wrong because i just learned about these examples of problems about a week ago

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I got 800\831

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Can you explain me how (the steps)

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It's ans is 1

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I'm trying to find some clue to the problem.

its graph looks approximately like a square root graph multiplied by some constant equal to about 1.3(on small enough scales it doesn't miss by a lot but when you got to numbers like $10^7$ it will miss by a lot)

So its value isn't constant at all.

The problem is really interesting though :)

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Thank you friend, but of you give me a graph it would be really good. Again thanks:-)

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https://s3.amazonaws.com/grapher/exports/tupibgzrxn.png

https://s3.amazonaws.com/grapher/exports/0untf59cxm.png

https://s3.amazonaws.com/grapher/exports/l8t7vxlikg.png

red is the graph of the problem

blue is the graph of $1.3533\sqrt{x}$

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