Question

If Lim x tends to pi/3 then evaluate

Answer 1

Answer:

Step-by-step explanation:

Put the limit,

= (sin(π/3) -√3/2) /(π/3-π/3)

= (√3/2 -√3/2) /(π/3-π/3)

=0/0

This is an undetermined form.

So, Differentiate w. r. t. x ,

=(Cosx -0)/(1-0) d/dx(sinx) = cosx

= cosx

Put the limits,

=cosπ/3

= 1/2 Answer