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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;
Find out all the critical points for the function. Solution To determine the derivative it's probably simple to do a little simplification previous to we in fact diffe
What is homomorphism ring
Q. Determine Z-scores and Percentiles? Ans. Z-scores help measure how far a piece of data is from the mean. More specifically, Z-scores tell how far a piece of data is fr
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Test of homogeneity This is concerned along with the proposition that several populations are homogenous along with respect to some characteristic of interest for example; one
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problem to understand an problem; f(X-2)=X+3 / X-4
Example of addition of Signed Numbers: Example: (-2) + 3 + 4 = 0 - 2 + 3 + 4 Solution: Thus: (-2) + 3 + 4 = 5 Example: 10 + (-5) + 8 + (-7)
What is our aim when teaching children multiplication? Firstly they should be able to judge which situations they need to multiply in, and the numbers that are to be multiplied sec
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