Daily Graph 22-02-09

y = [x]+[x/2]+[x/4]+[x/8]+......[x/2n].... limit n tending to infinity!

43 Answers

62
Lokesh Verma ·

@tapan.. can you give some justification or proof?

21
tapanmast Vora ·

ACTUALLY THIS IS A FORMULA which i hav learnt frm TMH :

21
tapanmast Vora ·

hey!!

ther's the crux!!!

the graf mani described is only for 0 to x... (he is corrct in saying that by GP ratio < 1)

but thats niot the case as da graf is very much defined for x>1....

take an eg. x = 2 isnt it defined [7]

21
tapanmast Vora ·

hey this is same as the formula to find power of 2 in x!

62
Lokesh Verma ·

tapan dont be confused..

This is the formula for the highest power of 2 in n!

but this has nothing much to do with function of n.

This is a function for every value of x and is defined everywhere.!

I have just come out of a long class of 6 odd hours.. SO am in a heavy head :D

so if i am making any mistake.. pls tell me :)

62
Lokesh Verma ·

@manipal..

It is not that complex..

Hint: take the case that x lies between 2 powers of 2!

21
tapanmast Vora ·

mani mein tumhari baat samajh gaya wen u had put thise "???" at the end....

I was trying to tell that yeh GP wala formula x>1 ke liye nahi chalega na bhai.....

to u gotta use the P & C formula!!

or mayb ther is sum other meth wich i dunno [2]

11
Mani Pal Singh ·

sir it is [x] type of function it ought to be discontinuous.

62
Lokesh Verma ·

@manipal.. yes it will be discontinuous.

No doubt. But it wont be that bad either.

62
Lokesh Verma ·

This is not that tough!!

IS IT?!!

11
Mani Pal Singh ·

k sir par mejhe {x} handle karne mein help kar do!!!!!

21
tapanmast Vora ·

sir, if the formula I gav isnt to be applied,

then isme koi hint do na pl...

otherwise I dunno how to approach as simplifyin [x] = x - {x}
mite not b that useful in this un...

62
Lokesh Verma ·

hint:

Take an example..

x=101.2

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