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Byju's Answer
Standard XII
Mathematics
Algebra of Limits
Evaluate the ...
Question
Evaluate the limit :
lim
x
→
−
1
x
3
−
3
x
+
1
x
−
1
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Solution
Using Direct substitution method,
lim
x
→
−
1
x
3
−
3
x
+
1
x
−
1
=
(
−
1
)
3
−
3
(
−
1
)
+
1
−
1
−
1
=
−
1
+
3
+
1
−
2
=
−
3
2
Therefore,
lim
x
→
−
1
x
3
−
3
x
+
1
x
−
1
=
−
3
2
Hence, the value of limit
lim
x
→
−
1
x
3
−
3
x
+
1
x
−
1
=
−
3
2
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Algebra of Limits
Standard XII Mathematics
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