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
.
.
.
.
.
-
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
.
.
.
.
.
