1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Factorization Method Form to Remove Indeterminate Form
Evaluate: ...
Question
Evaluate:
lim
x
→
2
[
3
x
2
−
x
−
10
x
2
−
4
]
Open in App
Solution
⇒
3
x
2
−
x
−
10
=
(
x
−
2
)
(
3
x
+
5
)
⇒
x
2
−
4
=
(
x
−
2
)
(
x
+
2
)
∴
Substituting it in the equation we get
lim
x
→
2
(
x
−
2
)
(
3
x
+
5
)
(
x
−
2
)
(
x
+
2
)
=
lim
x
→
2
(
3
x
+
5
)
(
x
+
2
)
Now substituting the limit we get,
=
3
(
2
)
+
5
2
+
2
=
11
4
Suggest Corrections
0
Similar questions
Q.
Evaluate
lim
x
→
2
7
x
2
−
11
x
−
6
3
x
2
−
x
−
10
Q.
Evaluate the following:
lim
x
→
1
x
2
−
3
x
+
2
x
2
−
4
x
+
3
lim
x
→
2
x
3
+
x
2
−
12
x
3
−
x
2
−
x
−
2
lim
x
→
√
2
x
2
+
x
√
2
−
4
x
2
−
3
x
√
2
+
4
lim
x
→
3
x
3
−
3
x
2
−
x
+
3
x
3
−
6
x
2
+
9
x
Q.
Evaluate the following one sided limits:
(i)
lim
x
→
2
+
x
-
3
x
2
-
4
(ii)
lim
x
→
2
-
x
-
3
x
2
-
4
(iii)
lim
x
→
0
+
1
3
x
(iv)
lim
x
→
-
8
+
2
x
x
+
8
(v)
lim
x
→
0
+
2
x
1
/
5
(vi)
lim
x
→
π
2
tan
x
(vii)
lim
x
→
-
π
/
2
+
sec
x
(viii)
lim
x
→
0
-
x
2
-
3
x
+
2
x
3
-
2
x
2
(ix)
lim
x
→
-
2
+
x
2
-
1
2
x
+
4
(x)
lim
x
→
0
-
2
-
cot
x
(xi)
lim
x
→
0
-
1
+
cosec
x
Q.
lim
x
→
2
3
x
2
−
x
−
10
x
2
−
4
Q.
Evaluate
lim
x
→
3
x
2
−
9
x
−
3
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Factorisation and Rationalisation
MATHEMATICS
Watch in App
Explore more
Factorization Method Form to Remove Indeterminate Form
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app