Find the limit LIM (x → 0) (∫ (0, x) cost & # 178; DT) / X of this problem

Find the limit LIM (x → 0) (∫ (0, x) cost & # 178; DT) / X of this problem

Analysis: with the law of lobida!
The original formula = LIM (x → 0) [∫ (0, x) cost & # 178; DT] / X
=cosx²
=cos0
=1