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Problem
Problem
If
l
=
lim
x
→
1
+
2
−
2
1
−
x
l = \lim_{x \to 1^+} 2^{-2^{1-x}}
l
=
lim
x
→
1
+
2
−
2
1
−
x
and
m
=
lim
x
→
1
+
x
sin
(
x
−
[
x
]
)
x
−
1
m = \lim_{x \to 1^+} \frac{x \sin(x - [x])}{x-1}
m
=
lim
x
→
1
+
x
−
1
x
s
i
n
(
x
−
[
x
])
(where
[
⋅
]
[ \cdot ]
[
⋅
]
denotes greatest integer function). Then
(
l
+
m
)
(l+m)
(
l
+
m
)
is .....
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