lim Tanx+3sin x
x----> ---------------------
x
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Given limit
x→0lim
sin 3 x(tanx−sinx)
= x→0lim cosxsin 3 xsinx(1−cosx)
= x→0lim cosxsin 2 x(1−cosx)
= x→0lim cosx(1−cos 2 x)(1−cosx)
= x→0 lim cosx(1+cosx)1
= 2/1
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