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Byju's Answer
Standard XIII
Mathematics
Indeterminate Forms
Evaluate the ...
Question
Evaluate the limit :
lim
x
→
−
1
x
3
+
1
x
+
1
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Solution
Given:
lim
x
→
−
1
x
3
+
1
x
+
1
b
e
c
o
m
e
s
0
0
f
o
r
m
Using Factorization method
⇒
lim
x
→
−
1
x
3
+
1
x
+
1
⇒
lim
x
→
−
1
(
x
+
1
)
(
x
2
−
x
+
1
2
)
x
+
1
⇒
lim
x
→
−
1
(
x
2
−
x
+
1
)
=
(
(
−
1
)
2
−
(
−
1
)
+
1
)
=
(
1
+
1
+
1
)
=
3
Therefore,
lim
x
→
−
1
x
3
+
1
x
+
1
=
3
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Standard XIII Mathematics
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