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

Recognizes the absolute extrema & relative extrema, Recognizes the absolute...

Recognizes the absolute extrema & relative extrema for the following function.                           f ( x ) = x 2       on [-1, 2] Solution:  As this function is simpl

Geometry, the segments shown could form a triangle

the segments shown could form a triangle

How to introduce a child to the symbol for zero, A 'woman was trying to tea...

A 'woman was trying to teach her three-year-old child the numbers from 1to 5 from a children's book on numbers. Each number was illustrated by the same number of trees drawn next t

Define an ordered rooted tree, Define an ordered rooted tree. Cite any two ...

Define an ordered rooted tree. Cite any two applications of the tree structure, also illustrate using an example each the purpose of the usage.   Ans: A  tree is a graph like t

Conversion\, how many mg are there in g?

how many mg are there in g?

Decimals, 2.46825141458*1456814314.446825558556

2.46825141458*1456814314.446825558556

Solve the following word problems, 1.   The length of a rectangle is 2 time...

1.   The length of a rectangle is 2 times its width.  The area of the rectangle is 72          square inches. Find the dimensions of the rectangle.   2.   The length of a rec

Simplifying rational expressions, I need to simple this rational expression...

I need to simple this rational expression, but I can''t figure out how. (x+1)/(x^2-2x-35)+(x^2+x-12)/(x^2-2x-24)(x^2-4x-12)/(x^2+2x-15)

Karls pearsons co-efficient of correlation, Aim: To test the significan...

Aim: To test the significant relationship between the accounting ratios of operating management and standard ideal ratios. Null Hypothesis(H 0 ) : There is no significa

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