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

Mod(z-25i)<15, Mod(Z-25i)   Sol) mod (Z-25i) means Z lies in the circumfer...

Mod(Z-25i)   Sol) mod (Z-25i) means Z lies in the circumference of the circle with (0,25) at its centre and radius less then 15. so difference in the max and min value of arg Z is

Find the area of parallelogram, Find the area of PARALLELOGRAM ? A para...

Find the area of PARALLELOGRAM ? A parallelogram is a four-sided shape, of which the opposite sides are parallel. (Because they are parallel, opposite sides also have the same

Dividing, If I divide any number do I get the manservant 2 times

If I divide any number do I get the manservant 2 times

String art, finding distance using circumference

finding distance using circumference

Decimal representations of some basic angles, Decimal representations of so...

Decimal representations of some basic angles: As a last quick topic let's note that it will, on occasion, be useful to remember the decimal representations of some basic angles. S

Determinants, can anyone solve this assigment: D=lsqrt(3x-5) sqrt(2x)l ...

can anyone solve this assigment: D=lsqrt(3x-5) sqrt(2x)l =3 l -1 1 l

Demonstrates that f ( x ) = 4 x5 + x3 + 7 x - 2 mean value, Demonstrates th...

Demonstrates that f ( x ) = 4 x 5 + x 3 + 7 x - 2 has accurately one real root. Solution From basic Algebra principles we know that since f (x) is a 5 th degree polynomi

Evaluate following. 0ln (1+)excos(1-ex)dx substitution, Evaluate following....

Evaluate following. ∫ 0 ln (1 + π )   e x cos(1-e x )dx Solution The limits are little unusual in this case, however that will happen sometimes therefore don't get

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