Heaviside or step function limit, Mathematics

Heaviside or step function limit : Calculates the value of the following limit.

139_limit10.png

Solution

This function is frequently called either the Heaviside or step function. We could employ a table of values to find out the limit, but it's possibly just as quick in this case to employ the graph hence let's do that. Below is the graph of this function.

1575_limit11.png

We can conclude from the graph that if we approach t = 0 from the right side the function is moving in towards a y value of 1. Well in fact it's just staying at 1, however in the terminology which we've been using it's moving in towards 1...

Also, if we move in to t = 0 from the left the function is moving in to a y value of 0. In according to our definition of the limit the function required to move in towards a single value as we move in towards t = a (from both sides). It isn't happening in this case and hence in this instance we will also say that the limit doesn't exist.

Posted Date: 4/11/2013 4:07:09 AM | Location : United States







Related Discussions:- Heaviside or step function limit, Assignment Help, Ask Question on Heaviside or step function limit, Get Answer, Expert's Help, Heaviside or step function limit Discussions

Write discussion on Heaviside or step function limit
Your posts are moderated
Related Questions
the sum of the interior angles of a convex rectilinear figure is equal to sum of the exterior angles. then the number of sides is

A chemist mixed a solution which was 34% acid with another solution that was 18% acid to generate a 30-ounce solution which was 28% acid. How much of the 34% acid solution did he u

In an election contested between A and B, A obtained votes equal to twice the no. of persons on the electoral roll who did not cast their votes & this later number was equal to twi

The set of whole numbers also does not satisfy all our requirements as on observation, we find that it does not include negative numbers like -2, -7 and so on. To


how to create an activity of tower of hanoi

assignment of marketing mix on healthservices


Solve : 4x2+2x+3=0 Ans) x^2 + (1/2)x = -(3/4) (x+1/4)^2 = 1/16 - 3/4 = -11/16 implies x = (-1+i(11)^(1/2))/4 and its conjugate.

Determine if the acceleration of an object is given by a → = i → + 2 j → + 6tk → find out the object's velocity and position functions here given that the initial velocity is v