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Limits in a Nutshell
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These notes help in approaching limits when you get stuck. They work well with the Limits Theory, Limits Examples and Limits Notes on Examples notes. Summary based on coursework in the Engineering Maths 115 course at Stellenbosch University. Used for Tutoring Purposes on Teachme2.

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  • June 14, 2021
  • 2
  • 2020/2021
  • Other
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Limits in
-
general


* If
you are stuck
,
follow these steps .




① Substitute
* If
you get some rational number have solved the limit
you
.




* If for A ° or I etc then it is indeterminate
you get
.
.
.




* For one - sided limits :




ft = as



- oo
=




② Check if one
-
sided limits are
necessary
:




* There is an absolve value that becomes O


* The limit is at a break between functions on a



piecewise function

* Indeterminate of the form to


③ Resolve
any
absolute values



④ Check if rationalization of a
square root is
necessary



⑤ Check if
you
have a rational function
have the order n


¥fPqE%
same
if
* Check for a they
-
:-X




* Facto rise




⑥ Check for limits
trig
* Squeeze theorem off s'=tEo÷ = I




* Identities I 0--30
h I -

Cosa
=
I
7oz

l I -
cos -0 h
= =
o
0--30 To → o

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