11
Mani Pal Singh
·2009-04-20 10:50:44
k
i know laatex is in trouble
the ques is
A =1/√2+1√3+1/√4.....................1/√10000
find [A]
where[x] represents GINT
11
Mani Pal Singh
·2009-04-27 07:59:44
its the time 4 the answer
\frac{1}{\sqrt{m}}=\frac{2}{\sqrt{m}+\sqrt{m}}<\frac{2}{\sqrt{m}+\sqrt{m-1}}
on rationalizing
2(\sqrt{m}-\sqrt{m-1})
so we get
\frac{1}{\sqrt{2}}<2(\sqrt{2}-{\sqrt{1}})
\frac{1}{\sqrt{3}}<2(\sqrt{3}-{\sqrt{2}})
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\frac{1}{\sqrt{10000}}<2(\sqrt{10000}-\sqrt{9999})
alternate terms r cutting so we r left with
A<2(100-1)=198
now again
\frac{1}{\sqrt{m}}=\frac{2}{\sqrt{m}+\sqrt{m}}>\frac{2}{\sqrt{m}+{\sqrt{m+1}}}
==2(\sqrt{m+1}-\sqrt{m})
A>2(\sqrt{10001}-\sqrt{2})>197
So we get
197<A<198
so [A]=197
1
Philip Calvert
·2009-04-20 11:23:52
rohan already solved one this kind b4
let me find ...
1
Manas
·2009-04-20 11:03:41
Is the ques
A =1/√2+1√3+1/√4.....................1/√10000
or
A =1/√2+1/√3+1/√4.....................1/√10000
24
eureka123
·2009-04-20 05:08:58
[] represents GINT naa???????
kyunki har baar end mein pata chalta hai ki bracket gint thaa[3][3][2][2]
1
Manas
·2009-04-20 10:49:22
Add question otherwise there is no sense in asking to answer
1
Manas
·2009-04-20 10:46:35
even me i cant see the ques
39
Dr.House
·2009-04-20 10:07:28
this one`s a pretty good one. let others try
11
Mani Pal Singh
·2009-04-20 10:04:10
yes
ny contenders ???
i will wait 4 some time to give the answer
if someone is trying tell me
i will not give the solution
1
Vivek
·2009-04-20 09:06:04
is there a way to *solve* this?
1
Vivek
·2009-04-20 09:02:03
197
just a single line for loop
11
Mani Pal Singh
·2009-04-20 08:07:19
this 1 is damn cool
have a try on it [1]