limit of a constant

Limitations of Dimensional Analysis - Dimensional analysis has no information on dimensionless constants. If a quantity is dependent on trigonometric or exponential functions, this method cannot be used. In some cases, it is difficult to guess the factors while deriving the rela..

Linear programming is applicable only to problems where the constraints and objective function are linear i.e., where they can be expressed as equations which represent straight lines. In real life situations, when constraints or objective functions are not linear, this technique cannot be used. ..

The first law of thermodynamics is concerned with the conversion of energy from one form to another. It helps us to understand energy transformation in different chemical reactions. The basic point of the first law is that all physical and chemical processes take place in such a manner that the tot..

We shall now deduce the Poisson distribution from the binomial distribution by assuming that n and p 0 such that the product np always remains finite, say l . We shall now use a very important result of limits in Calcu..

Hooke's law - Experimental study by Hooke revealed that elastic bodies regain their original configuration completely, only upto a limit. He termed this limit as the elastic limit. He found that within the elastic limit, the extension produced in the wire was..

Limitations of First Law of Thermodynamics: Need of Second Law - The first law of thermodynamics is concerned with the conversion of energy from one form to another. It helps us to understand energy transformation in different chemical reactions. The basic point of the first law is that a..

Let f(x) be a continuous function defined on an interval [a,b]. between the limits a and b. This statement is also known as 'fundamental theorem of calculus'. We call b, the upper limit of x and a, the lower limit. If in place of F(x) we take F(x)+c as the value of the..

Heat Capacity - The heat capacity C of an object, is the proportionality constant between the heat Q that the object absorbs or loses and the resulting temperature change D T of the object. That is, -----(i) Where, T i and T f are the initial and final temperatures of the object. Heat cap..

. Such animals are called cold blooded, ectothermic or poikilothermic organisms. Birds and mammals, in contrast, within limits maintain constant body temperatures regardless of temperature variations of air and water. Such animals are termed warm blooded, homeothermic or endothe..

Suppose a particle is moving in such a way that its average velocity, measured for a number of different time intervals, is not constant. This particle is said to move with variable velocity. Then, we must determine a velocity of the particle at any given instant of time, called the insta..