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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;
how many pendulum swings will it take to walk across the classroom
A telephoned dialled number 0 to 9.if 0 is dialled first the caller is connected to the international exchange system.find the number of local calls that can be rung if a local num
please tell me what is algebra and how i can understand it
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
Chain Rule : Assume that we have two functions f(x) & g(x) and they both are differentiable. 1. If we define F ( x ) = ( f o g ) ( x ) then the derivative of F(x) is,
How many 4 digit number lass than 6000 can be made with the digits 7,6,4 and 2 if digits are not repeated?
Previous year's budget was 12.5 million dollars. This year's budget is 14.1 million dollars. How much did the budget increase? Last year's budget must be subtracted from this y
#How are Indian customers visiting Shoppers’ Stop any different from customers of developed western countries?
design a synchronous, recycling, MOD-12 counter with D FF''s. Use the states 0000 through 1011 in the counter.
Q. How to Multiply two Fractions? Multiplying fractions is really easy! The rule is: "multiply across"- You multiply the numerators, and you multiply the denominators.
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