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

Linear programming , Use the simplex method to solve the following LP Probl...

Use the simplex method to solve the following LP Problem. Max Z = 107x1+x2+2x3 Subject to 14x1+x2-6x3+3x4=7 16x1+x2-6x3 3x1-x2-x3 x1,x2,x3,x4 >=0

Extreme value theorem, Extreme Value Theorem : Assume that f ( x ) is cont...

Extreme Value Theorem : Assume that f ( x ) is continuous on the interval [a,b] then there are two numbers a ≤ c, d ≤ b so that f (c ) is an absolute maximum for the function and

Determine the angle, In parallelogram ABCD, m∠A = 3x + 10 and m∠D = 2x + 30...

In parallelogram ABCD, m∠A = 3x + 10 and m∠D = 2x + 30, Determine the m∠A. a. 70° b. 40° c. 86° d. 94° d. Adjacent angles in a parallelogram are supplementary. ∠A a

Help, how long would it take if a submarine if it goes 3 feet per minute to...

how long would it take if a submarine if it goes 3 feet per minute to get to 20000 answer

How far apart are the two boats, Two boats leave the same port at the same ...

Two boats leave the same port at the same time. One travels at a constant speed of 30 km/hr at a bearing of 50° and the other on a bearing of 110° at a constant speed of 26 km/hr.

Integers satisfy the inequality, How many integers satisfy the inequality |...

How many integers satisfy the inequality |10(x+1)/x^2+2x+3|=1? Solution) first thing thats not an inequality, and second thing its very easy if thats the question. the LHS = |10/

Properties of summation notation, Properties Now there are a couple of ...

Properties Now there are a couple of formulas for summation notation. 1. here c is any number. Therefore, we can factor constants out of a summation. 2. T

Determine the other two sides of the triangle, The radius of the in circle ...

The radius of the in circle of a triangle is 4cm and the segments into which one side is divided by the point of contact are 6cm and 8cm.  Determine the other two sides of the tria

Fractions, how to add a fraction with an uncommon denomoninator

how to add a fraction with an uncommon denomoninator

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