Infinite limits, Mathematics

Assignment Help:

Infinite Limits : In this section we will see limits whose value is infinity or minus infinity. 

The primary thing we have to probably do here is to define just what we mean while we say that a limit contain a value of infinity or minus infinity.

Definition

We say

2362_limit60.png

If we make f(x) arbitrarily large for all x adequately close to x=a, from both of the sides, without in fact letting x = a .

We say

669_limit61.png

if we can make f(x) arbitrarily large & negative for all x adequately close to x=a, from both of the sides, without letting x= a actually.

These definitions can be modified appropriately for the one-sided limits as well.

Let's start off with a typical example showing infinite limits.


Related Discussions:- Infinite limits

Trigonometry identity, if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx...

if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx*siny*sinz=2

Mensuration, A palm tree of heights 25m is broken by storm in such a way th...

A palm tree of heights 25m is broken by storm in such a way that its top touches the ground at a distance of 5m from its root,but is not separated from the tree.Find the height at

Proof of the properties of vector arithmetic, Proof of the Properties of ve...

Proof of the Properties of vector arithmetic Proof of a(v → + w → ) = av → + aw → We will begin with the two vectors, v → = (v 1 , v 2 ,..., v n )and w? = w

Perceny, 72 is 75% what number

72 is 75% what number

Measurement of the sampling distribution, Caterer determines that 87% of p...

Caterer determines that 87% of people who sampled the food thought it was delicious. A random sample of 144 out of population of 5000 taken. The 144 are asked to sample the food. I

Evaluate the following exponentials limit, Evaluate following limits. ...

Evaluate following limits. Solution: Let's begin this one off in the similar manner as the first part. Let's take the limit of each piece. This time note that since our l

Multiplying mixed numbers, Q. Multiplying Mixed Numbers? Ans. Mult...

Q. Multiplying Mixed Numbers? Ans. Multiplying mixed numbers is a 3-step process: 1. Convert the mixed numbers to improper fractions 2. Multiply the fractions 3.

Climate and vegetation of southeast asia, 1.) How does the monsoon influenc...

1.) How does the monsoon influence the climate and vegetation of Southeast Asia? 2.) What is the main crop in Southeast Asia and the main systems by which it is produce? How and

Houses having the floor , Suppose you are in the market for a new home and ...

Suppose you are in the market for a new home and are interested in a new housing community under construction in a another city. a) The sales representative informs you that the

Multiplication of complex numbers, Multiplication of complex numbers Af...

Multiplication of complex numbers After that, let's take a look at multiplication.  Again, along with one small difference, it's possibly easiest to just think of the complex n

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