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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;
A telephoned dialled number 0 to 9.if 0 is dialled first the caller is connected to the international exchange system.find the number of local calls that can be rung if a local num
Q UADRATIC EQUATIONS: For the things of this world cannot be made known without a knowledge of mathematics. Solve by factorization a. 4x 2 - 4a 2 x +
#a grocer buys a box of 200oranges for $25 he sells them for 15c caluclate his percentage profit
Given So calculate AB. Solution The new matrix will contain size 2 x 4. The entry in row 1 and column 1 of the new matrix will be determined by multiplying row 1 of
i dont now how to do it
I need expert who can solve 10 set of PDE with constant of integration.
a man in rested rupee 800 is buying rupee 5 shares and then are selling at premium of rupee 1.15. He sells all the shares.find profit
sin(xy)+x=5y Find the derivative.
STRATEGY It refers to a total pattern of choices employed by any player. Strategy could be pure or a mixed one In a pure strategy, player X will play one row all of the
Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.
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