Ws 1.4 Algebraic Limits Worksheet Page 3
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1
2
3
4Calculus Maximus
WS 1.4: Algebraic Limits
3
x x
2
1
18.
lim
19.
lim tan
x
20.
lim tan
x
x
2
x
x
2
x
2
(
)
cos x + m
- cos x
1
= Use: cos(x + m) = cos xcos m - sin xsin m
21.
22. lim
lim
x
3
m
x
3
m®0
x
3
5 2 ,
x
x
1
23. If
g x
( )
4,
x
1
find:
4
x
,
x
1
(a)
lim ( )
g x
(b)
lim ( )
g x
(c)
lim ( )
g x
(d)
lim ( )
g x
x
5
x
1
x
1
x
1
, find
, evaluate
2
3
24. If
1
f x
( )
x
2
x
2
lim
f x
( )
25. If
3
x
f x
( )
x
2
lim ( )
f x
x
1
x
1
Justify.
No need to justify.
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