Right- and left-handed limits , Mathematics

Assignment Help:

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,

1655_limit32.png

if for every number ε > 0 there is some number δ > 0 such that

|f ( x ) - L| < ε                      whenever           0 < x - a < δ           or a < x

Definition  For the left-hand limit we say that,

1102_limit33.png

if in support of every number ε < 0 there is some number δ > 0 such that

 |f ( x ) - L |< ε                whenever                        - δ < x - a < 0 or (a - δ < x < a )

Note as well that along with both of these definitions there are two ways to deal along with the limitation on x and the one in parenthesis is possibly the easier to use, though the main one given more nearly matches the definition of the normal limit above.

Let's work a quick instance of one of these, even though as you'll see they work in much the similar manner as the normal limit problems do.


Related Discussions:- Right- and left-handed limits

Find relation between x and y while lies on straight line, Find the relatio...

Find the relation between x and y when the point (x,y) lies on the straight line joining the points (2,-3) and (1,4) [ Hint: Use area of triangle is 0] Ans :   Hint: If the poi

Equations, At a bakery the cost of 30 experts is 45$. Write an equation tha...

At a bakery the cost of 30 experts is 45$. Write an equation that shows the cost of 45 cookies

How many rolls will she required to purchase, Karen is buying a wallpaper b...

Karen is buying a wallpaper border for her bedroom, that is 12 ft by 13 ft If the border is sold in rolls of 5 yards each, how many rolls will she required to purchase? The dis

Percentage, there are 300 students in the sixth grade. if 40% of them were ...

there are 300 students in the sixth grade. if 40% of them were girls, how many boys were there?

Factor , #Mai iss 3 years younger than twice the age of her brother . If b ...

#Mai iss 3 years younger than twice the age of her brother . If b represents the age of Mai''s brother .which expression below represents Mai''s age 2-3b 3-2b 2b-3 3b-2 2-3b 3-2b q

Área de un rectangulo, calcula el área de la región sombreada de un rectáng...

calcula el área de la región sombreada de un rectángulo cuya base es 12.6 cm y su altura es 8.4

Core concepts, Discuss mareketing core concepts analysing how they are used...

Discuss mareketing core concepts analysing how they are used in marketing hospitality product

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