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

Functions of many variables, There may be more than one independent v...

There may be more than one independent variable which determines the value of y. The dimension of a function is determined by the number of independent variables in the

Without a calculator give the exact value, without a calculator give the ex...

without a calculator give the exact value of each of the following logarithms. (a) (b) log1000 (c) log 16 16 (d) log 23 1  (e)  Solution (b) log10

Maths For Fun, Ask Suppose I offer you a loan to start a safety matchstick ...

Ask Suppose I offer you a loan to start a safety matchstick production unit on the following terms: I shall first advance you Rs.50,000/- to set up your unit, and wait for 3 month

Lower than average, A local police precinct has seen a recent enhance in th...

A local police precinct has seen a recent enhance in the number of complaints filed regarding how officers are interacting with the public. Before addressing the issue, the command

Solving geometry using algebra, if one side of a square is increased 4 inch...

if one side of a square is increased 4 inches and an adjacement side is multiplied by 4, the perimeter of the resulting rectangle is 3 times the perimeter of the square. find the s

Example of fraction, Example  Reduce 24/36 to its lowest terms. 2...

Example  Reduce 24/36 to its lowest terms. 24/36=12/18=6/9=2/3. In the first step we divide the numerator and the denominator by 2. The fraction gets reduced

Find out all the critical points and derivation, Find out all the critical ...

Find out all the critical points for the function. Solution Following is the derivative for this function. Now, this looks unpleasant, though along with a little fa

How to calculate arithmetic average or mean, Q. How to calculate arithmetic...

Q. How to calculate arithmetic average or mean? Ans. When people collect information, or data, they can easily be overwhelmed with information. Just imagine listing the b

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