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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;
Explain Adding Rational Expressions with Different Denominators When you add or subtract fractions or rational expressions that have different denominators, you must first find
2, -8, 32, -128, ?, ?, ?, what are these next 3?
Q. There are 10 students on the school debating team. How many different ways can the team choose a president and a secretary? Ans. There are 10 choices for the president
Suppose that, on a certain day, 495 passengers want to fly from Honolulu (HNL) to New York (JFK); 605 passengers want to fly from HNL to Los Angeles (LAX); and 1100 passengers want
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In triangle DEF, angle E is congruent to angle F. If side DE = 3x-6, Side EF = x+2 and Side DF = 18-5x. Find the length of side DE
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write an equation for a functionthat gives the value in ech table .
a triangle with side lengths in the ratio 3:4:5 is inscribed in a circle
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