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EAMCET Engineering 2005 Solved Paper
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© examsnet.com
Question : 141
Total: 160
If
f
:
R
→
R
is defined by
f
(
x
)
=
{
x
−
2
x
2
−
3
x
+
2
if
x
∈
R
−
{
1
,
2
}
2
if
x
=
1
1
if
x
=
2
.
then
lim
x
→
2
f
(
x
)
−
f
(
2
)
x
−
2
=
0
-1
1
−
1
2
Validate
Solution:
Given that
f
(
x
)
=
{
x
−
2
x
2
−
3
x
+
2
if
x
∈
R
−
{
1
,
2
}
2
if
x
=
1
1
if
x
=
2
.
lim
x
→
2
f
(
x
)
−
f
(
2
)
x
−
2
=
lim
x
→
2
x
−
2
x
2
−
3
x
+
2
−
1
=
lim
x
→
2
x
−
2
(
x
−
2
)
(
x
2
−
3
x
+
2
)
=
lim
x
→
2
−
(
x
−
2
)
2
(
x
−
2
)
(
x
−
2
)
(
x
−
1
)
=
−
lim
x
→
2
1
x
−
1
=
−
1
2
−
1
=
−
1
© examsnet.com
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