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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;
An apartment complex contains 250 apartments to rent. If they rent x apartments then their monthly profit is specified by, in dollars,, P ( x
find inverse of [1 2 3 2 4 5 3 5 6]
Differences of Squares (and other even powers) ? A square monomial is a monomial which is the square of another monomial. Here are some examples: 25 is the square of 5 x 2 i
E - L - P - S : Has the title of this section stumped you? Children, similarly, don't understand new symbols that are thrust upon them without giving them an adequate grounding. Y
Explain Linear Equations ? Set of ordered pairs of numbers A set is an undefined term and we describe it as a "well defined" collection. We use the symbol "{ }" to denote "a se
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1 . The probability that a couple will have a child with black hair is 0.6. If this couple has 7 children what is (a) the probability that exactly 3 of these children have bl
at what price 6.25% rs 100 share be quoted when the money is worth 5%
The law of cosines can only be applied to acute triangles. Is this true or false?
John is planning to buy an irregularly shaped plot of land. Referring to the diagram, determine the total area of the land. a. 6,400 m 2 b. 5,200 m 2 c. 4,500 m 2 d.
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