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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 diagram below shows the cross section of a pipe 1/2 inch thick that has an inside diameter of 3 inches. Determine the area of the shaded region in terms of π. a. 8.75π i
Find the generating function for the number of r-combinations of {3.a, 5.b, 2.c} Ans: Terms sequence is given as r-combinations of {3.a, 5.b, 2.c}. This can be writte
solve the following simultaneous equations x+y=a+b ; a/x_b/y
3x2 +7x +4
Domain of a Vector Function There is a Vector function of a single variable in R 2 and R 3 have the form, r → (t) = {f (t), g(t)} r → (t) = {f (t) , g(t), h(t)} co
Q. How to Convert Percentages to Decimals? Ans. Since percent stands for "hundredths", to write a percentage as a decimal you just need to find how many hundredths it repr
A man can do a piece of work in 25 days how many people are required to complete same work in 15 days?
Classification : As you know, classification (also called grouping) involves putting together things that have some characteristic in common. We can say that a child is able to c
what is (x-y)(x+y)
How should shoppers Stop develop its demand forecasts?
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