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Byju's Answer
Standard XI
Mathematics
Indeterminate Forms
If lim x → 01...
Question
If
lim
x
→
0
(
1
+
a
sin
x
)
c
o
s
e
c
x
=
3
,
then a is
A
In 2
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B
In 3
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C
In 4
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D
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Solution
The correct option is
B
In 3
3
=
lim
x
→
0
(
1
+
a
sin
x
)
c
o
s
e
c
x
[
1
∞
f
o
r
m
]
⇒
lim
x
→
0
e
c
o
s
e
c
x
.
a
sin
x
=
e
a
∴
e
a
=
3
⇒
a
=
log
e
3
=
l
n
3.
Suggest Corrections
2
Similar questions
Q.
If
lim
x
→
0
(
1
+
a
sin
x
)
c
o
s
e
c
x
=
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,
then a is
Q.
If
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+
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Q.
If
f
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)
=
⎧
⎨
⎩
x
:
x
<
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1
:
x
=
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2
:
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>
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then
lim
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f
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Q.
lim
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→
0
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−
√
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√
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⋅
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,
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−
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1
−
x
)
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x
=
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