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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;
An educator placed 10 pebbles in a row and asked four-year-old Jaswant to count how many there were. She asked him to touch the pebbles .while counting them. Jaswant counted the pe
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find all the 8th roots of (19+7i)
$26,000 is spended for two years. In the first year it gets interest at 8.3% p.a. compounded semi annually. In the same year the rate of interest changes to 7.5% p.a. compounded da
Test Of Hypothesis On Proportions It follows a similar method to the one for means except that the standard error utilized in this case: Sp = √(pq/n) Z score is computed
A non-empty set or group of which all the sets under concern are subsets is known as the universal set. In any part of application of set theory, all the sets under concern might l
Different types of rectilinear figures
Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.
Example of Word Problems Involving Money: A collection of coins consists of nickels, dimes & quarters. The number of quarters is double the number of nickels, and the number o
What fraction of the full price will you pay for 2 shirts? 3 4 11 2 $45.001 2 .
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