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

Tangent lines, Recall also which value of the derivative at a specific valu...

Recall also which value of the derivative at a specific value of t provides the slope of the tangent line to the graph of the function at that time, t. Thus, if for some time t the

Determine the length of the diagonal, A box is 30 cm long, 8 cm wide and 12...

A box is 30 cm long, 8 cm wide and 12 cm high. Determine the length of the diagonal AB ? Round to the nearest tenth. a. 34.5 cm b. 32.1 cm c. 35.2 cm d. 33.3 cm

Proof of various integral facts- formulas, PROOF OF VARIOUS INTEGRAL FACTS/...

PROOF OF VARIOUS INTEGRAL FACTS/FORMULAS/PROPERTIES In this section we've found the proof of several of the properties we saw in the Integrals section and also a couple from t

Student, What is the slope and y intercept for (6,5) (-3,8)

What is the slope and y intercept for (6,5) (-3,8)

Find how much more space than the toy it will cover, A Solid toy in the for...

A Solid toy in the form of a hemisphere surmounted by the right circular cone of height  2cm  and  diameter  of  the  base  4  cm .If  a right  circular  cylinder circumscribes the

Definition of natural exponential function, Definition of Natural exponenti...

Definition of Natural exponential function:   The natural exponential function is f( x ) = e x   where, e= 2.71828182845905........ . Hence, since e > 1 we also know that e x

Fractions, how can I compare fractions with unlike denominators?

how can I compare fractions with unlike denominators?

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