limitations of assignment problem


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Infinite limits
Let f(x) be a function of x, if the value of f(x) can be made greater than any pre-assigned number by taking x close to 'a', then we say Similarly, if the value of f (x) can be made less than any pre-assigned number by taking x close to 'a', then we say f (x) tends to - as..
Limits
Left Hand Limit: Let f(x) tend to a limit l 1 as x tends to a through values less than 'a', then l 1 is called the left hand limit. Right Hand Limit: Let f(x) tend to a limit l 2 as x tends to 'a' through values greater than 'a', ..
Limits
But we are interested in finding the value of y near 2. When x = 1.9, y = 3.9 x = 1.99, y = 3.99 x = 1.999 y = 3.999 . . . . . . Similarly, when x = 2.1 y = 4.1 x = 2.01 y = 4.01 x = 2.001 y = 4.001 . . . . . . Observe that as x approaches 2, y approaches 4. 4 is called the limit o..
Limitations
1) It is rather difficult to regulate the pressure of the H 2 gas to be at exactly 1atm throughout the experiment. 2) Excess of H 2 bubbling out carries little HCl with it and hence the H + concentration decreases. In such a system, it is difficult to maintain the concentration of HCl at 1M. 3)..
Personnel Assignment Problem
If we are given the number of persons, number of jobs and the expected productivity of a particular person on a particular job, linear programming is used to maximise the average productivity of a perso..
Problems on Limits
Here is a list of problems solved using the identities of limits, standard limits, limits theorem explained above....
Algebra of Limits
If f and g are two functions defined over same domain D, then we have certain set of identities which can be used for solving limits problems with variables like algebraic expression..
Limits (Contd....)
Limits at infinity: If x is a variable such that it can take any real value how much ever The two important properties of these one-sided limits that i) If the left hand limit and right hand limit of a function at a point exists, but are no..
Limiting friction
It is the maximum value of static friction which comes into play when a body is just about to slide over the surface of another body. For an applied external force greater than the limiting friction, the body begins to move. Once motion has begun, static friction cannot be considered. A n..
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