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Calculation of Limit

  • Thread starter TyChi
  • Start date
  • #1
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Homework Statement



Evaluate the limit

Lim (√x-√a)/(x-a)
x→a



I am not sure how to solve this. I asked my classmates and they do not know either. Help would be much appreciated!
 

Answers and Replies

  • #2
768
4
Looks like you have type zero-over-zero, thus permitting use of L'Hospital's rule, which says you can take the derivative of the top and the derivative of the bottom and then evaluate the limit.
 
  • #3
SammyS
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Homework Statement



Evaluate the limit

Lim (√x-√a)/(x-a)
x→a

I am not sure how to solve this. I asked my classmates and they do not know either. Help would be much appreciated!
You might consider rationalizing numerator. Then there's no need to use L'Hôpital's rule.
 

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