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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;
The horizontal asymptote of (16x+7)(x^2-5)/(x^2+36).
Rob purchased picnic food for $33.20 to share along with three of his friends. They plan to split the cost evenly among the four friends. How much does every person required to pay
A two-digit number is seven times the sum of its digits. The number formed by reversing the digits is 18 less than the original number. Find the original number.
how do you solve for porportions?
Algebraic Word Problems: Equations: 1. The total electrical output of one nuclear facility is 200 megawatts more than that of another nuclear facility. Let L be the
how many formulas there for the (a-b)2
9:59-10:45
railway tunnel of radius 3.5 m and angle aob =90 find height of the tunnel
An advertising project manager developed the network diagram shown below for a new advertising campagign. In addition, the manager gathered the time information for each activity,
Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b
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