Left-handed limit, Mathematics

Assignment Help:

Left-handed limit

We say

186_limit16.png

provided we can make f(x) as close to L as we desire for all x sufficiently close to a and x

Note that the change in notation is extremely minor and actually might be missed if you aren't paying attention. The only difference is the bit i.e. under the "lim" part of the limit. For the right- handed limit now we have x → a- (note the "+") which means that we know will only look at x>a.  Similarly for the left-handed limit we have x → a- (note the "-") that means that we will only be looking at x

Let's now take a look at the some problems and look at one-sided limits rather than  the normal limit.

 

 


Related Discussions:- Left-handed limit

Right- and left-handed limits , Right- and left-handed limits : Next, let'...

Right- and left-handed limits : Next, let's see precise definitions for the right- & left-handed limits. Definition   For the right-hand limit we say that, if for eve

Describe adding and subtracting square roots, Describe Adding and Subtracti...

Describe Adding and Subtracting Square Roots? To add or subtract square roots, the radicands must be the same. If the radicands are the same, add/subtract the coefficients (the

Find the time required for an enlargement, 1. The polynomial G(x) = -0.006x...

1. The polynomial G(x) = -0.006x4 + 0.140x3 - 0.53x2 + 1.79x measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase

Arithmetic progression (a.p.), A series is said to be in Arithmetic...

A series is said to be in Arithmetic Progression (A.P.) if the consecutive numbers in the series differs by a constant value. This constant value is referre

Rates of change and tangent lines in limits, Rates of Change and Tangent Li...

Rates of Change and Tangent Lines : In this section we will study two fairly important problems in the study of calculus. There are two cause for looking at these problems now.

Parallel lines, Parallel to the line specified by 10 y + 3x= -2 In this...

Parallel to the line specified by 10 y + 3x= -2 In this case the new line is to be parallel to the line given by 10 y ? 3x ? -2 and so it have to have the similar slope as this

Statisctics, I would like to know what a symbol in my homework means?

I would like to know what a symbol in my homework means?

Solution of rectilinear figures, A straight line AB on the side of a hill i...

A straight line AB on the side of a hill is inclined at 15.0° to the horizontal. The axis of a tunnel 486ft. long is inclined 28.6° below the horizontal lies in a vertical plane wi

Polynomials, On dividing p(X)=5x^(4)-4x^(3)+3x^(2)-2x+1 by g(x)=x^(2)+2 if ...

On dividing p(X)=5x^(4)-4x^(3)+3x^(2)-2x+1 by g(x)=x^(2)+2 if q(x)=ax^(2)+bx+c, find a,b and c.

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