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lim n tends to infintiy ( {x} + {2x} + {3x}..... +{nx}/ n2(to the square) )where {X} denotes the fractional part of x?Ans) all no.s are positive or 0. so limit is either positive or 0.........(1)now {x}<=1;{2x}<=1;......{x}+{2x}+....{nx}<=nthat implies lim n tends to infinity{x}+{2x}+....{nx}/n^2 <= lmit n tends to infinity n/n^2;that means lim n tends to infinity{x}+{2x}+....{nx}/n^2 <= lmit n tends to infinity 1/n i.e. 0........(2)from (1) and (2);required limit=0;
Prove that in any triangle the sum of the squares of any two sides is equal to twice the square of half of the third side together with twice the square of the median, which bisect
Probability of A is 85% Probability of B is 45% Probability A and B 56% What is the probability of not either A or B?
what is history of Unitary method
Statistical inference This is the process of drawing conclusions about attributes of a population based upon information contained in a sample or taken from the population.
An orange has a diameter of 3 inches. Evaluate the volume of one orange. (π = 3.14) a. 9.42 in 3 b. 113.04 in 3 c. 28.26 in 3 d. 14.13 in 3 d. To determine the
Explain Mixed Numbers with examples? Everybody loves a bargain, right? But sometimes these "special deals" aren't what they seem to be. For example, pretend you were at a
2/3=y-1/2
Solve : 4x2+2x+3=0 Ans) x^2 + (1/2)x = -(3/4) (x+1/4)^2 = 1/16 - 3/4 = -11/16 implies x = (-1+i(11)^(1/2))/4 and its conjugate.
A sinking ship signals to the shore for assistance. Three individuals spot the signal from shore. The ?rst individual is directly perpendicular to the sinking ship and 20 meters in
Value Of The Game The game value refers to the average pay off per play of the game over an extended period of time
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