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Question
Mathematics
lim x → 0 ( x.2x-x /1-cosx) is equal to
Q.
lim
x
→
0
1
−
cos
x
x
.
2
x
−
x
is equal to
11459
180
Report Error
A
log 2
B
2
1
l
o
g
2
C
2 log 2
D
1/2
Solution:
lim
x
→
0
1
−
c
o
s
x
x
−
2
x
−
x
=
lim
x
→
0
1
−
c
o
s
x
x
(
2
x
−
1
)
=
lim
x
→
0
1
−
c
o
s
x
x
2
.
x
2
x
−
1
=
lim
x
→
0
1
−
c
o
s
x
x
2
.
lim
x
→
0
x
2
x
−
1
=
lim
x
→
0
2
(
s
i
n
x
/2
x
/2
)
2
.
lo
g
2
=
2
lo
g
2