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1+ 2+ 3+ 4+.......∞ how to evaluate dis?? ...
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1+ 2+ 3+ 4+.......∞ how to evaluate dis?? ...
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P(x) is a quadratic such that (1) its leading coefficient is 1 (2) P(x) and P(P(P(x))) share a root. Then prove that P(0)*P(1)=0 ...
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Dear friends The contest session of IMO 2011 starts tomorrow Lets root for our team. You can check them out http://official.imo2011.nl/year_reg_team.aspx?year=2011&code=IND. Its great to see a girl member, Mrudul Thatte on th ...
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1 . What is a " convex " function ? 2 . Prove that " y = x 2 " is a convex function . 3 . Out of 15 persons , 6 are girls while 9 are boys . We want the boys to form a line with increasing heights , and also the girls , but t ...
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0∫∞ 1/(1+xn)n = 1 find n . ...
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Find \lim_{n\rightarrow \infty}\int_{0}^{1}{}x^{2}e^{-(\frac{x^2}{n^2})}dx ...
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Find \lim_{n\rightarrow \infty}\int_{0}^{1}{}x^{2}e^{-(\frac{x^2}{n^2})}dx ...
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Find \lim_{n\rightarrow \infty}\int_{0}^{1}{}x^{2}e^{-(\frac{x^2}{n^2})}dx ...
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If S=.99999999.......∞ then 10S=9.9999999.....∞ then 9S=9 then S=1 ????? ...
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\int_{0}^{\pi }{}e^{cos^{2}x}cos^{3}(2n+1)xdx = ? where n is an integer. I took cos3(2n+1) as a constant. I can't evaluate the remaining integral.Help needed ...
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Let " x " and " y " be positive integers such that " xy " divides " x 2 + y 2 + 1 " . Prove that - x 2 + y 2 + 1/xy = 3 . I will add some more if I see that people are taking interest in this . ...
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Let " x " and " y " be positive integers such that " xy " divides " x 2 + y 2 + 1 " . Prove that - x 2 + y 2 + 1/xy = 3 . I will add some more if I see that people are taking interest in this . ...
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\lim_{x\rightarrow \propto } [ 1^{1}+2^{1/2} + 3^{1/3} + ...... + x^{1/x} ] ...
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1)For n≥3 determine all real solutions of the system of n equations x1+ x2+...+xn-1 = 1/xn ............ x1+ x2+ ...+xi-1+ xi+1+...xn= 1/xi ....... x2+ ...+ xn-1+ xn = 1/x1 2)Suppose P(x) is a polynomial with real coefficien ...
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1)For n≥3 determine all real solutions of the system of n equations x1+ x2+...+xn-1 = 1/xn ............ x1+ x2+ ...+xi-1+ xi+1+...xn= 1/xi ....... x2+ ...+ xn-1+ xn = 1/x1 2)Suppose P(x) is a polynomial with real coefficien ...
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\lim_{x\rightarrow \propto } [ 1^{1}+2^{1/2} + 3^{1/3} + ...... + x^{1/x} ] ...
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\lim_{x\rightarrow \propto } [ 1^{1}+2^{1/2} + 3^{1/3} + ...... + x^{1/x} ] ...
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Q: Two fixed charges " +q " and " -q' " are shown as in the figure. A field line emerges from +q charge at an angle ' α '. Find the angle at which it terminates at the other charge. *Image* Note: | +q | ≠| -q' | Please pos ...
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Let ABC be the triangle formed by intersection of the lines x-y=0 , y=0 and 7x+y = 56. Find the minimum possible perimeter of the family of triangles inscribed in ABC. ...
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Our dear member Ricky, is going to give his ISI entrance interview on 21st of this month. I wish him all the best for his day.. May his dreams come true! [1] ...
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find the least positive value of a+b,where a,b are positive integers and such that 11divides a+13b and 13 divides a+11b ...
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find the least positive value of a+b,where a,b are positive integers and such that 11divides a+13b and 13 divides a+11b ...
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Let ABC be the triangle formed by intersection of the lines x-y=0 , y=0 and 7x+y = 56. Find the minimum possible perimeter of the family of triangles inscribed in ABC. ...
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Our dear member Ricky, is going to give his ISI entrance interview on 21st of this month. I wish him all the best for his day.. May his dreams come true! [1] ...
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Our dear member Ricky, is going to give his ISI entrance interview on 21st of this month. I wish him all the best for his day.. May his dreams come true! [1] ...
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A very old problem which i saw somewhere and dont think we have discussed it here before... Given the drawing of a parabola, try to find the focus. Nothing is given, no grids nothing. Just the parabola on a blank paper.... ...
