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Limit finding

  • Thread starter fermio
  • Start date
  • #1
38
0

Homework Statement


[tex]\lim_{x\to 8}\frac{x-8}{x^{\frac{1}{3}}-2}[/tex]


Homework Equations


Answer is 12


The Attempt at a Solution


[tex]\lim_{x\to 8}\frac{x-8}{x^{\frac{1}{3}}-2}= \lim_{x\to 8}\frac{(x^{\frac{1}{3}}-2)(x^{\frac{2}{3}}+2x^{\frac{1}{3}}+2^2)}{x^{\frac{1}{3}}-2}=\lim_{x\to 8}(x^{\frac{2}{3}}+2x^{\frac{1}{3}}+4)=12 [/tex]
 
Last edited:

Answers and Replies

  • #2
Shooting Star
Homework Helper
1,977
4
Correct. The latex graphics is not showing everything correctly, though.
 

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