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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;
Finding the Slope of a Line, Given Two Points on it ? Find the slope of the line passing through the pairs of points (-5, -2) and (2, 4). One way to find the slope is
2-3+=3+-4
ther are 162 student in a school.20 of them are girls .how many are boy
8y square minus2
QUESTION (a) Draw a graph model with the following adjacency matrix. (b) The diagram below shows different cities labelled a to g and z. Also sh
Example determines the first four derivatives for following. y = cos x Solution: Again, let's just do so
tips to memorize my time table
#question.areas of applications of linear program mes to solution to engineering problems.
log6 X + log6 (x-5) = 1
100 plus 2
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