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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;
Keith wants to know the surface area of a basketball. Which formula will he use? The surface area of a sphere is four times π times the radius squared.
The C.P. of 20 articles is same as theS.P. of x articles.Article profit is 25%.Find x
Find out the general formula for the tangent vector and unit tangent vector to the curve specified by r → (t) = t 2 i → + 2 sin t j → + 2 cos t k → . Solution First,
What are the other differences between learners that a teacher needs to keep in mind, while teaching? Let us see an example in which a teacher took the pupil's background into acc
Negative Skewness It is an asymmetrical curve whether the long tail extends to the left NB: In developed countries this frequency curve for the age distribution is charact
A printer which sells for $190 is on sale for 20% off. What is the sale price of the printer? The printer is 20% off. That means that it is 80% of its original price (100% - 2
Q. Multiplying Fractions Involving Negative Numbers? Ans. If you have only one negative sign, the result is still negative: If you have more than one, just remembe
angel 1 and angel 2 are what angels?
How do you find the maxima or minima on a parabolic graph?
Relationship between the inverse sine function and the sine function We have the given relationship among the inverse sine function and the sine function.
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