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Byju's Answer
Standard XII
Mathematics
Substitution Method to Remove Indeterminate Form
Evaluate the ...
Question
Evaluate the following limit:
lim
x
→
3
(
t
a
n
x
−
2
x
)
Open in App
Solution
(
1.
)
lim
x
→
3
(
t
a
n
x
−
2
x
)
L
H
L
=
lim
x
→
3
−
(
t
a
n
x
−
2
x
)
=
t
a
n
3
−
2
3
=
t
a
n
3
−
8
R
H
L
lim
x
→
3
+
(
t
a
n
x
−
2
x
)
=
t
a
n
3
−
2
3
=
t
a
n
3
−
8
L
H
L
=
R
H
L
=
t
a
n
3
−
8
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