lim. x - sin^-¹x
x--> _________
sin³x
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Step-by-step explanation:
Given limit
x→0
lim
sin
3
x
(tanx−sinx)
=
x→0
lim
cosxsin
3
x
sinx(1−cosx)
=
x→0
lim
cosxsin
2
x
(1−cosx)
=
x→0
lim
cosx(1−cos
2
x)
(1−cosx)
=
x→0
lim
cosx(1+cosx)
1
=
2
1
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