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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;
Larry spends 3/4 hour twice a day walking and playing with his dog. He also spends 1/6 hour twice a day feeding his dog. How much time does Larry spend on his dog each day? Add
The median Merits i. This shows the centre of a described set of data ii. Knowledge of the determination of the median may be extended to find out the quartiles i
Leptokurtic a) A frequency distribution which is lepkurtic has normally a higher peak than that of the general distribution. The coefficient of kurtosis while determined will
please can you help me with word problems
how to find the minimum distance between any two particles which are in relative motion?
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Im having trouble with this word problem: The three Math Idol judges have been eliminating contestants all day! The number of one-step equations and two-step equations who have be
Describe Simplifying Fractions with example? When a fraction cannot be reduced any further, the fraction is in its simplest form. To reduce a fraction to its simplest form, div
Find out primes of each denominator: Add 1/15 and 7/10 Solution: Step 1: Find out primes of each denominator. 15 = 5 x 3 10 = 5 x 2 Step 2:
Minima, Maxima and points of inflexion a) Test for relative maximum Consider the given function of x whose graph is presented by the figure given below
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