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k is a positive integer and | x | < 1 What is \lim_{n \to \infty} xn nk = ? answer supposd to be 0 ...
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1. a, b, c, p, q, r are real nos. such that ax2 + bx + c ≥ 0 and px2 + qx + r ≥ 0 for all x ε R. Prove that apx2 + bqx + cr ≥ 0 for all x. I know c, r, a and p > 0 and Discriminant ≤ 0 but im not able to prove it ...
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Q. Find the first non-zero digit from the right when 25 ! is written in base 5 notation. Q. There are 3 circular coins each with different radii … They are placed touching each other externally. The distance from the centre ...
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If Sn is the sum Sn = 1 + 1/2 + 1/3 + ... 1/n ( n >2 ) , prove that *Image* ...
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Q. 1. Find all polynomials p(x) such that x p(x-1) = (x-15) p(x) . Q. 2. Determine all functions f : R - {0,1} --> R such that *Image* Thank You ! [111] ...
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im stuck at this one [41] Find f(x) if f(x + y) = x. f(y) + y. f(x) and f '(0) = 1 ...
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Really Simple Question which i cudn't do [2] If out of a group of students, atleast 90 % have chosen Sports, atleast 80 % chose Music and atleast 70 % chose Studies, then the % of students who have chosen all three is atleast ...
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Here are the Questions i could remember ..... Q.1. What should be the values of x and y such that x2 + y2 is minimum and (x + 5)2 + (y – 12)2 = 142 ?? I got the answer as (x, y) = ( 5/13, -12/13 ) and min value as 1 Q.2. so ...
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Find all integers 'a' such that (x - a)(x - 12) + 2 can b factored as (x + b)(x + c) where 'b' and 'c' are integers. ...
