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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;
81 miles equal how many inches simplify your answer integer od decimal..
interestind topic in operation research for doing project for msc mathematics
The median - it is a statistical value which is usually located at the center of a given set of data that has been organized in the order of size or magnitude as illustrating,
Lines EF and GH are graphed on this coordinate plane. Which point is the intersection of lines EF and GH?
Find the Determinant and Inverse Matrix (a) Find the determinant for A by calculating the elementary products. (b) Find the determinant for A by reducing the matrix to u
A pipe has a diameter of 2.5 inches. Insulation which is 0.5 inches thick is placed around the pipe. What is the diameter of the pipe along with the insulation around it? The i
By using n = 4 and all three rules to approximate the value of the following integral. Solution Very firstly, for reference purposes, Maple provides the following valu
LARGE SAMPLES These are samples that have a sample size greater than 30(that is n>30) (a) Estimation of population mean Here we suppose that if we take a large sample
The time t required to test a computer memory unit is directly proportional to the square of the number n of memory cells in the unit. For a particular type of unit, n = 6400
draw the graph of following pair of linear equation:-2y=4x-6
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