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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;
Discuss demanding total market demand verus gaing market share
tan[2x+pie/4]
Q. Find a common factor of the numerator and denominator? Ans. There's only one key step to simplifying (or reducing) fractions: find a common factor of the numerator and
table of 12
We are here going to begin looking at nonlinear first order differential equations. The first type of nonlinear first order differential equations which we will see is separable di
Find the probability of having 53 Sundays in (i) a leap year (ii) a non leap year (Ans:2/7 , 1/7 ) Ans: An ordinary year has 365 da
2.46825141458*1456814314.446825558556
-1
Consider the following system of linear equations. X 1 +x 3 +x 4 = 2 X 1 +x 2 +x 3 = 6 X 2 +x 3 +x 4 = 3 X 1 +x 2 +x 4 = 0 (a) Write out the augmented matrix fo
Expected opportunity loss or EOL method EOL method is aimed at minimizing the expected opportunity loss or OEL. The decision maker chooses the strategy along with the minimum e
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