Probablity prob

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If a and b are chosen randomly from set containing {1,2,3,4,5,6} with replacement,find probablity so that \lim_{x\rightarrow 0}\frac{a^x-b^{\frac{x+2}{x}}}{2}=6

I couldnt understand why this limit was given.

#Mathematics #Algebra

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aieeee ·2009-09-09 00:12:31

not sure,dude

its perhaps given so , to get the values of a and b , as d set is fixed. after u get a and b u cn find the prob.

getting 1/6.

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eureka123 ·2009-09-09 00:17:11

nops...ans is 1/9

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Lokesh Verma ·2009-09-09 00:55:22

Try and show that b=1

But first look I dont see the answer being 1/9

Try and see if the question has a typing error!

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eureka123 ·2009-09-09 06:55:08

the only error tha can be is
in that limit it can be b^{1 +2/x}

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eureka123 ·2009-09-15 23:42:31

sorry sir made a mistake in ques

its lim (a^x+b^x2)^2/x
xâ†’0

which is equal to ab

so ab=6

=> pairs possible=(3,2),(2,3)(1,6),(6,1)
P=1/9

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Probablity prob

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