Compute the value of the following limit, Mathematics

Assignment Help:

Compute the value of the following limit.

2099_limit2.png

Solution: Notice as well that I did say estimate the value of the limit.  Again, we will not directly compute limits in this section. The point of this section is to give us a better idea of how limits work & what they can tell us regarding the function.

We will select values of x that get closer and closer to x=2 & plug these values into the function.  Doing this gives the following table of values.

712_limit3.png

Note that we ensured & picked values of x that were on both sides of x = 2 to ensure that any trends which we might be seeing are x =2 and which we moved in extremely close to actually correct.

Also notice as well that we can't in fact plug in x = 2 into the function as it would give us a division by zero error.  It is not a problem as the limit doesn't care what is happening at the point in question.

From given table it appears that the function is 4 as x approaches 2, so

132_limit4.png

Let's think a little bit more about what's going on here.  Let's graph the function from the last example.  The graph of the function in the range of x's that were interested in is shown below.

883_limit5.png


Related Discussions:- Compute the value of the following limit

Calculate the acceleration time, Question A 22 kW, 3-phase, 415 V, 40 A,...

Question A 22 kW, 3-phase, 415 V, 40 A, 50 Hz, 960 rpm, 0.88 PF squirrel cage induction motor drives a pump. The total inertia of the drives system is 1.2 kg-m2. Determine th

Probability, One coin is tossed thrice. what will be the probability of get...

One coin is tossed thrice. what will be the probability of getting neither 3 heads nor 3 tails

Rate and ratio, express 4:24 as fraction in lowest term

express 4:24 as fraction in lowest term

Find out the area of the circle, 1. The number of accidents attended to by ...

1. The number of accidents attended to by 6 emergency ambulance stations during a 5 month period was: Station May June July Aug Sep      A        21     20     22    37    37

Determine how many poles are there in the stack, 1. A stack of poles has 22...

1. A stack of poles has 22 poles in the bottom row, 21 poles in the next row, and so on, with 6 poles in the top row. How many poles are there in the stack? 2. In the formula N

Trigonmetry, On your geometry test you have two triangles: ?ABC and ?MNO. Y...

On your geometry test you have two triangles: ?ABC and ?MNO. You are told that ?A ? ? M and that ?B ? ? N. Which statement is also true?

Duality., advanteges of duality

advanteges of duality

Shares and divend, a company of 10000 shares of rs 100 each declares a annu...

a company of 10000 shares of rs 100 each declares a annual dividend of 5 %.what is the total amount dividend paid by the company

Examples of repetition need not be boring- learning maths, E1) Try and see ...

E1) Try and see the order in which different children fills numbers in the grid above. My claim is that all of them would fill in the ones, the fives and the tens first. Test my hy

Calculate values of the derivative, First, see that the right hand side of ...

First, see that the right hand side of equation (2) is a polynomial and thus continuous. This implies that this can only change sign if this firstly goes by zero. Therefore, if the

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd