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

Real numbers, All the number sets we have seen above put together com...

All the number sets we have seen above put together comprise the real numbers. Real numbers are also inadequate in the sense that it does not include a quantity which i

What is a set, A set can define as a precise group of distinct objects. Wel...

A set can define as a precise group of distinct objects. Well-defined group means that there be a principle with the help of which it is probable to tell whether a given object rel

Word problem, tom has 150 feet of fencing to enclose a rectangular garden. ...

tom has 150 feet of fencing to enclose a rectangular garden. if the length is to be 5 feet less than three the width, find the area of the garden

Combined mean and standard deviation, Combined Mean And Standard Deviation ...

Combined Mean And Standard Deviation Occasionally we may need to combine 2 or more samples say A and B. Therefore it is essential to identify the new mean and the new standard

Proof of limit comparison test - sequences and series, Proof of Limit Compa...

Proof of Limit Comparison Test As 0  Now, as   we know that for large enough n the quotient a n /b n should be close to c and thus there must be a positive integer

Permatuation and combination problem, A student is allowed to select at mos...

A student is allowed to select at most n-blocks from a collection of (2n + 1) books. If the total number of ways in which he can select a book is 63, find the value of n. Solution

I want to learn mathematics, I was never really good at mathematics what is...

I was never really good at mathematics what is the best way? I am reading Math better explained but is there anything else I can do? I want to study advanced topics and get a good

Example of set representation, Can anybody suggest me any example of Set Re...

Can anybody suggest me any example of Set Representation?

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