Finding Limits of F(x) as x Approaches 64 and 0

[Redoctober]

I spent a lot thinking of this but can't fingure out how to find the limit as it approach x=64
Plz need help :)

F(x) = (sqrt(x)-8)/((x)^(1/3)-4)

find f(x) lim x->64

also this question -

lim x-->0 ((x+1)^(1/3)-1)/((x+1)^(1/4)-1)

Thanks in advance

 

[lurflurf]

Change variables to the lowest common denominator and factor and cancel
(sqrt(x)-8)/((x)^(1/3)-4) ->(y³-2³)/(y²-2²)
where y=x^(1/6)
((x+1)^(1/3)-1)/((x+1)^(1/4)-1)=(y⁴-1⁴)/(y³-1³)
where y=(x+1)^(1/12)

 

[Redoctober]

Thanks :D ! I though bout this way but i didnt know wat to put y as