Reason for why limits not existing, Mathematics

Assignment Help:

Reason for why limits not existing : In the previous section we saw two limits that did not. 

We saw that

2006_limit13.png

did not exist since the function did not settle down to a single value as t approached t = 0 . The closer to t = 0 we moved the more passionately the function oscillated & in order for a limit to exist the function have to settle down to a single value.

1075_limit12.png

However we saw that did not present not since the function didn't settle down to a single number as we moved in towards t = 0 , but rather then because it settled into two distinct numbers based on which side of t = 0 we were on.

The problem was that, as we approached t =0 , the function was moving in towards different numbers on each of the side.


Related Discussions:- Reason for why limits not existing

Geometry, i need help trying make a presentation for my teacher

i need help trying make a presentation for my teacher

probability , An engineer has 200 resistors that he keeps in one box. Resi...

An engineer has 200 resistors that he keeps in one box. Resistors are colored to help their identification, and in this box there are 30 white resistors, 50 black resistors, 80 red

Example to understand means to count, Place ten pebbles (or any other such ...

Place ten pebbles (or any other such objects) in front of a child who can recite number names upto ten in the correct sequence. Ask him/her to count them aloud while touching the p

Solve 9 sin ( 2 x )= -5 cos(2x ) on[-10, Solve 9 sin ( 2 x )= -5 cos(2x ) o...

Solve 9 sin ( 2 x )= -5 cos(2x ) on[-10,0]. Solution At first glance this problem appears to be at odds with the sentence preceding the example. However, it really isn't.

Simplify, X^2 – y^2 – 2y - 1

X^2 – y^2 – 2y - 1

Real numbers on every line, Make a file called "testtan.dat" which has 2 li...

Make a file called "testtan.dat" which has 2 lines, with 3 real numbers on every line (some negative, some positive, in the range from-1 to 3).  The file can be formed from the edi

Graph and algebraic methods , To answer each question, use the function t(r...

To answer each question, use the function t(r) = d , where t is the time in hours, d is the distance in miles, and r is the rate in miles per hour. a. Sydney drives 10 mi at a 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