Recent content by alomari2010

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    Graduate Verifying Proof: lim [x→0] f(x)g(x) Does Not Exist

    i think it is correct 100%
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    Undergrad Anyone have any suggestions on books on chebyshev polynomials?

    you can refer to Chebyshev polynomials by J. C. Mason
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    Graduate Question about max of functions

    Thanks! but i think you didn't got what i want! i will try to repost my Q? As above we have a formula for max{x,y}. So what is the formula for max{x,y,z}? where x,y,z in R. In general, for x_i in R, i=1,2,..,n what is the formula for max{x_1, x_2,..., x_n}? hope anyone can got the answer!
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    Undergrad How to prove ln(x) < sqrt(x) for all x>0

    consider the function {f(x) = e^{\sqrt{x}} - x,} which is >0 so that f^{\prime} >0 for all x and therefore e^{\sqrt{x}} - x > 0 , and thus \sqrt{x} > \ln{x}
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    Graduate Question about max of functions

    Let a,b,c,d in R. For a=< x =< b and c=< y =< d, find maxx{maxy{(x-a)(y-c), (x-a)(d-y), (b-x)(y-c), (b-x)(d-y)}}?? it is well known that max(x,y) = \frac{x+y+|x-y|}{2}