noooooooooo.
i think we have fallen into the pit dug by the author.
i have a dbt in evaluating this limit,the buk has a diff ans
i wonderd abt one thing we have proved cos4x-sin4x=cos2x.
which is very much rong as we have disproved a trignometric identity.
no we have not
cos2x = cos2x- sin2x
= (cos2x+sin2x)(cos2x- sin2x)
= cos4x-sin4x