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

Differentiate y = x x using implicit differentiation, Differentiate y = x ...

Differentiate y = x x Solution : We've illustrated two functions similar to this at this point. d ( x n ) /dx = nx n -1                                 d (a x ) /dx= a

Simulation and Modeling, I have some sample simulation and modeling practic...

I have some sample simulation and modeling practice questions using isee Stella software.

Identify the children strategies to solve maths problems, Here are four pro...

Here are four problems. Four children solved one problem each, as given below. Identify the strategies the children have used while solving them. a) 8 + 6 = 8 + 2 + 4 = 14 b)

ADDING AND SUBTRACTING EQUATION, GUESS THE NUMBER THAT WHEN YOU SUBTRACT 6 ...

GUESS THE NUMBER THAT WHEN YOU SUBTRACT 6 AND THEN SUBTRACT 0 IS-14

Determine the area of the shaded region, The diagram below shows the cross ...

The diagram below shows the cross section of a pipe  1/2  inch thick that has an inside diameter of 3 inches. Determine the area of the shaded region in terms of π. a. 8.75π i

Find the length of the rectangle, Suppose that the width of a rectangle is ...

Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 84 feet. a)    Set up an equation for the perimeter involving

How much is the volume increased, If the lengths of all sides of a box are ...

If the lengths of all sides of a box are doubled, how much is the volume increased? a. 2 times b. 4 times c. 6 times d. 8 times d. The volume of a box is taken by mu

Determine the size of the proposed repayments, Five years ago a business bo...

Five years ago a business borrowed $100,000 agreeing to repay the principal and all accumulated interest at 8% pa compounded quarterly, 8 years from the loan date. Two years after

Fractions, which fractions is equivalent to 5/ 6 a.20/24 b.9/10 c.8/18 d....

which fractions is equivalent to 5/ 6 a.20/24 b.9/10 c.8/18 d.10/15

Which of the following could be the dimensions the courty x, Katie's school...

Katie's school has a rectangular courtyard whose area can be expressed as 3x 2 - 7x + 2. Which of the following could be the dimensions of the courtyard in terms of x? Since t

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