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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;
NULL/ VOID/ EMPTY SET A set which has no element is known as the null set or empty set and is indicated by f (phi). The number of elements of a set A is indicated as n (A) and
Probability of A is 85% Probability of B is 45% Probability A and B 56% What is the probability of not either A or B?
.what are 20 math integer equations that equal 36?..
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Steve earned a 96 percent on his ?rst math test, a 74% on his second test, and an 85 percent on his third test. What is his test average? Add the test grades (96 + 74 + 85 = 25
Q. What is a Negative Number? Ans. Negative numbers are very important in mathematics. We say that positive and negative numbers are opposites of one another. Here
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