lim x→0(1−cos2x)(3+cosx)/x tan 4x i...
Question
Check here step-by-step solution of 'lim x→0(1−cos2x)(3+cosx)/x tan 4x is equal to' question at Instasolv!
Fullscreen

( lim _{x rightarrow 0} frac{(1-cos 2 x)(3+cos x)}{x tan 4 x} ) is equal to
( (a)- )
(b) ( frac{1}{2} )
(c) 1
(d) 2

JEE/Engineering Exams
Maths
Solution
120
Rating
4.0 (1 ratings)
lim x→0(1−cos2x)(3+cosx)/x tan 4x is equal to
Fullscreen

( begin{aligned} frac{ll}{2rightarrow0} frac{(1-cos 2 x)(3+cos x)}{x tan 4 x} &=operatorname{lt} frac{2 sin ^{2} x(3+cos x)}{x tan 4 x} &=lim _{x rightarrow 0} {2left(frac{sin ^{2} x}{x^{2}}right) frac{(3+cos x)}{left(frac{tan 4 x}{4 x}right)}}{} &=frac{2}{4} times 4=2 . end{aligned} ) 

Option d

Quick and Stepwise Solutions Just click and Send Download App OVER 20 LAKH QUESTIONS ANSWERED Download App for Free