Question

Question 10 Evaluate the Given limit: lim(z--> 1) (z^(1/3) - 1) / (z^(1/6) - 1)

Class XI - Limits and Derivatives Page 301

Answer 1

lim(z →1) (z^(1/3) - 1) / (z^(1/6) - 1)
             let z^1/6 = x  

so     lim(x →1)   x² -1/x-1
 
=> 2x
=> 2 

hope this will help you