100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
Limits Examples $0.00
Quickly navigate to
Preview
  2.  
  3. Stellenbosch University (SUN)
  4.  
  5. Engineering Mathematics 115 (ENGINEERINGMATHEMATICS115)

Other

Limits Examples
 8 views  2 purchases
  • Course
  • Engineering Mathematics 115 (ENGINEERINGMATHEMATICS115)
  • Institution
  • Stellenbosch University (SUN)
  • Book
  • Calculus: Early Transcendentals

This works best in conjunction with the "Limits Notes on Examples" as that leaves commentary on these examples. Hence, these notes are free, as well as "Limits in a Nutshell" notes. It is to your own benefit to purchase "Limits Notes on Examples" and "Limits Theory" and download "Limits in a Nutshe...

[Show more]

Preview 2 out of 12  pages

Document information

  • June 14, 2021
  • 12
  • 2020/2021
  • Other
  • Unknown

Subjects

  • engineering
  • maths
  • mathematics
  • calculus
  • limits
  • examples

Connected book

book image

Book Title:

Author(s):

  • Edition:
  • ISBN:
  • Edition:

More summaries for

  • Antiderivatives
  • Advanced Calculus Mathematics 214
  • Early Transcendentals Appendix A, B, C
All for this textbook (23)

Written for

  • Stellenbosch University (SUN)
  • Engineering Mathematics 115 (ENGINEERINGMATHEMATICS115)
All documents for this subject (41)

Seller

avatar-seller
Welri

Content preview

TUT 4
-




x C -
2




{
YET → axe ,

4 .
f Csc ) = ,


I cost ⇒ I x > I




a) Sketch the of f
graph

b) Determine the
following
limits
,
if they exist


i .
¥-2 f Cx ) ii LEO Six ) iii. ¥ ,
Stx )




;••€
I

#




?I
2=0
① f Cx ) =
← drawsereahiigshe line
y=xtz
* Check where line
straight

•
ta
↳ Vertical


it's
Asymptote




i
* Check where I i

' 2

. .
.
. - - ,
. .




£+2 = ate
- -2

I = C x -1232

It = x t2
4
vertical
← I where
asymptote
xt2=c
2+2=-1 straight line O
=


X = I =-3
x
the denominator
-




because it is in


L to
,
f C- D= Iz
=
I FC -
3) =
-31+-2=-1



PC -
I
,
I ) Q C- 3
,
-


D
* These are the

turning points




② fcx ) = 124 -
I
pal 1×1 -
I




=D
to !
% '

, ③ fcx ) =/ cost I




Cos X




period ⇒ it -




( Ex )
i

cos
-




period .
"¥
=L ,
radians




leos .
xD WIN
he - I L L,




x C -
2




{
YETI → a ski
Now combine the f Csc ) = ,
graphs
I cost ⇒ I x > I




• im
- -
- -
- - I




.




.
.
.

.

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller Welri. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $0.00. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

62890 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
Free  2x  sold
  • (0)
Download