Evaluate the limit: Lim x-->0 ((72tanx)/(sinx))?

Question

you may assume that lim x-->o ((sinx)/(x))=1

Answer 1

[x→0]lim 72 tan x/sin x
[x→0]lim 72 (sin x/cos x)/sin x
[x→0]lim 72/cos x
72/cos 0
72

Answer 2

((72tanx)/(sinx))

= ( (72(sinx/cosx)) / (sinx) )

= (72/cosx)



lim x->0 (72/cosx) = 72 / 1

= 72