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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;
what are reason inside a circle?
three complain forces of magnitudes 20N 30N and 45N
34+8-76=
A 65 ohm resistor is connected to a power supply , a current of 2.4 amperes is drawn. what is the output voltage?
The Definition- The definition of the Laplace transforms. We will also calculate a couple Laplace transforms by using the definition. Laplace Transforms- As the earlier secti
Adison earned $25 mowing her neighbor''s lawn. Then she loaned her friend $18, and got $50 from her grandmother for her birthday. She now has $86. How much money did Adison have to
Do you believe the holistic marketing concept is the most effective way to conduct marketing activities? Why? (Why not?)
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i have discovered a formula for finding the radius at any point of the graph have i done a good job
help solve these type equations.-4.1x=-4x+4.5
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