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Differential Calculus

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12 Sep 2007 17:11:06 IST

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345

help in cont.

None

If f(x) is continuous function x belongs to R and the range of f(x) is (2,26) and g(x)=[f(x)/c] is continuous in x belongs to R then the least positive integral value of c( [] denotes greatest integer function)
a) 2 b)3 c)5 d)6

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Comments (4)

shashidhar sundareisan

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Joined: 15 Aug 2007

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12 Sep 2007 17:24:38 IST

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Mahesh Jain

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12 Sep 2007 17:24:40 IST

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Answer is D

As f(x) is continous and belongs to 2 to 26^1/2

values of 2,3,5 makes f(x)/c greater than 1 hence discontinouity will occur

u cn see it as [ (2,26^1/2)/c] if c is 2 , 3 or 5 g(x) will b greater than 1 and become discontinous so if we take as 6 ,f(x)/c will b less than 1 and answer will be g(x)=0 which will b continous for all f(x) belongs (2,26^1/2)

Mahesh Jain

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12 Sep 2007 17:24:57 IST

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Answer is D

As f(x) is continous and belongs to 2 to 26^1/2

values of 2,3,5 makes f(x)/c greater than 1 hence discontinouity will occur

siva viper

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Joined: 15 Apr 2007

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13 Sep 2007 01:25:37 IST

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lolz.........yeah guyz the answer is 6 only.......they have all explained it b4 i got my chnace...............

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