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: W4- Limits
: MHF4U
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•:
Jensen
1) Evaluate each limit
b)
-
lim (x 4
x--+-1
c) lim ( ✓x +
X->9
"').
= (-IJ'i+(-'1)-4(-11
- b
'
;;
2) Evaluate the limit of each
4-x2
a) limx--+2 2-x
b) lim
X->-1-
x+1
(c1;?9{?..-\-""1('.)
I�;(\
I�
7l� l - �;;/:t
= �""" )._
(3 + {)�
:: {'f)).
-=-
-,
- 100
p
2x 2 +sx+3
. x 3 -27
x--+3 x-3
C) I 1m-­
')__
;:. lrfv\ (�(� + 3� + '\
0
-x-.>1
l- I
.�)
y'X
� l'3)�-t"3l'?>l ---1
=- i-,
16-xz
d) lim 3
X--+4 x +64
x z +x
f) lim1 x+l
x--+-
:. \r/'f\
1_-) Li
(4-1i)(�
)
(�/1'(.l.-<-f1::;;)
(-x-41(�¼_/)
C")('.-�1 l-x - s)
� (�-'{)(�+({)
- <; -<.{
-
(4J'-;. <f l'<)·H �
.:
{� -�)(l.(-�)
0 (�)
-\
1(1)
_.
�
3) Complete the following table and use results to estimate
JC
2
X X - X - 2.
I[ fV\
')(--.) 2-
1.9
JQ,/�</'(<i
')l-'J._,
�
r---x-- i_
-,._
2
-i
(J7f v�)
==
- I- l-tl
:: \
.:: l1M
+ x3 + x2 )
1,99
1.999
2
tX->2 -X-2
lim
X
2,001
2.01
2.1
o.��· o:n1� o.�� G��1:i. o� 3:z2b
3
l