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Question
Mathematics
displaystyle lim x arrow 0 (48/x4) ∫ limits0x ( t 3/ t 6+1) d t is equal to
Q.
x
→
0
lim
x
4
48
0
∫
x
t
6
+
1
t
3
d
t
is equal to
1086
132
JEE Main
JEE Main 2023
Limits and Derivatives
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Answer:
12
Solution:
48
x
→
0
lim
x
4
0
∫
x
t
6
+
1
t
3
d
t
(
0
0
)
Applying L' Hospitals Rule
48
x
→
0
lim
x
6
+
1
x
3
×
4
x
3
1
=
12