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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;
The bowling alley suggests selecting a ball that is 1/7 of the bowlers weight. If the bowler weighs 84 pounds, how much should the bowling ball weigh?
34+8-76=
pythagoras theorem
Evaluate following limits. Solution In this part what we have to note (using Fact 2 above) is that in the limit the exponent of the exponential does this, Henc
Find the are of the rectilinear.if it is the difference between to isosceles trapezoid whose corrsponding sides are parallel.
Previously discussed how important it is to expose children to a variety of verbal problems involving the concept that they are trying to learn. Children attach meaning to the abst
17/58-5/87+7/18
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Correlation and Regression CORRELATION is an important statistical concept which refers to association or interrelationship among variables. The reasons of studying correla
A B C play a game. If chance of their winning it in an attempt arr2/3, 1/2, 1/4 respective. A has a first chance followed by Band Called respective chances of winning the game.
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