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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;
equivalent decimal for 25%
A 4-inch by 6-inch photograph is going to be enlarged through increasing each side by the similar amount. The new area is 168 square inches. How many inches is each dimension incre
table of 12
Let D = 1 denotes the event that an adult male has a particular disease. In the population, it is known that the probability of having this disease is 20 percent, i.e., Pr (D = 1)
Differentiate y = x x Solution : We've illustrated two functions similar to this at this point. d ( x n ) /dx = nx n -1 d (a x ) /dx= a
1+2i=a+ib so find a and b
What is a Computer? A computer is an electronic device which senses or accepts input data, performs operations or computations on the data in a pre-arranged sequence
Find the perameter of SQUARE in maths? Remember that in a square, all sides are of equal length. A square is also a kind of rectangle. So, you can use length (l) times width
The figure provided below shows a hexagonal-shaped nut. What is the measure of ∠ABC? a. 120° b. 135° c. 108° d. 144° a. The measure of an angle of a regula
Diffrent type of rectillinar figure..
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