Finding limit

  • Thread starter Redoctober
  • Start date
  • #1
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Main Question or Discussion Point

I spent alot 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
 

Answers and Replies

  • #2
lurflurf
Homework Helper
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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)
 
  • #3
48
1
Thanks :D ! I though bout this way but i didnt know wat to put y as
 

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