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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 amount required to raise 25 lb of water 15 of
Consider a class of 55 students. The student names are placed in a hat and 3 names are randomly drawn without replacement. a) If the first person drawn was named the class presi
What is Converse, Inverse, and Contrapositive In geometry, many declarations are written in conditional form "If ...., then....." For Example: "If two angles are right angles,
Both need to be a full page, detailed proof. Not just a few lines of proof. (1) “Every convergent sequence contains either an increasing, or a decreasing subsequence (or possibly
Q. How to calculate Percentiles? Ans. In a large group of standardized test scores we expect the scores to approximate a normal curve. If all scores are translated to z-s
Kelli calls her grandmother every month Kelli also calls her cousin.If Kelli calls her cousin in January, how many calls will Kelli have made to her grandmother and her cousin by t
Explain Analytical Models in Operations Research with Application
Ratio of successes in 5 independent trials to the probability of successes in two independent trials is 1/4. What is the probability of 4 successes in 6 independent trials?
any example
All things considered, in a sense of ethnicity (a sense of identification with and loyalty to one's group) good or bad? is it harmful or helpful? What would be lost if Americans lo
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