squeeze theorem

Question

lim x→0 tan x⁄ x

 

Answer 1

squeeze theorem lim x->0 (sin x / x) = 1.

 

(tan(x))/x <=> sin(x))/xcos(x) <=> [(sin(x))/x]*1/cos(x)

The value of the term in [] is one and cos(x) can be evaluated by just substituting zero for x.

Answer:lim x->0 (tan(x))/x = 1

I hope this helps