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Ask iit jee aieee pet cbse icse state board experts Expert Question: greatest integer function
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ramkumar_november (1270)

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if

X =  1 + 1/2 + 1/ 3+ 1/ 4+ 1/ 5+ ..................... + 1/ 106 .

find  [X]     where  [ ] : denotes greatest integer function
           
    
magiclko (4205)

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Then answer will be 1... cuz al execpt the first term will be < 1...so [X] = 1

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ramkumar_november (1270)

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i am sorry...... one is not the answer
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ramkumar_november (1270)

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the answer is 1998........ if anyone can prove i will definitely salute him............ you can also use calculus to prove it........
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neeraj_agarwal_1990 (887)

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1 is not the answer because we can take an integer out of the bracket only...
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ramkumar_november (1270)

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experts please solve it>>>>>>>>>>>
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sandeepramesh (1247)

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Sorry to bump an old thread :D But i do believe i might have a solution :D


See this topic here :D


http://www.mathlinks.ro/Forum/viewtopic.php?t=193668


 

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sandeepramesh (1247)

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the basic idea remains the same, irrespectve of the answer! :D

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ramkumar_november (1270)

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@sandeepramesh ..... this question is already answered by konichiwa2x here :

http://www.goiit.com/posts/list/algebra-solve-for-definite-salutes-32483.htm

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Greatdreams (3155)

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Good work Ramkumar for finding such an excellent problem  ,


Sometimes at Goiit also we also have a few discussions that does bamboozle tried and tested mathematicians . Isn't it?


Hope Bhattji comes up with his questions again and Koni , Nadeem , Sboosy ,Elasti , Akhil etc ......... again participate in solving and making things beautiful up here!


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sandeepramesh (1247)

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but as ramkumar said already, the problem has already been solved  :huh:huh And also in the link i provided!

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