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Limit of a fraction

  • Thread starter nejnadusho
  • Start date
31
0
Hi guys I have a question?


lim x->1 (sqrt(x)-x^2)/(1-sqrt(x))

What is the value of the limit of this function?

Is it possible to be (-2)?????

Or I AM WRONG?

Thank you in advance.
 

Answers and Replies

tiny-tim
Science Advisor
Homework Helper
25,789
249
… just divide …

(sqrt(x)-x^2)/(1-sqrt(x))
Hi nejnadusho! :smile:

The bottom of this fraction actually factors the top, so you can just divide it out, if you want … :smile:
 
31
0
???????

I am sorry I cannot do it.

I don't know how to do it
 
Last edited:
Gib Z
Homework Helper
3,344
4
It might help to let [itex] \sqrt{x} = u[/itex] so that it becomes

[tex] \frac{u-u^4}{1-u} = \frac{ u(u^3-1)}{u-1}[/tex]

Do you know how to factorize the u^3 -1 term?
 
31
0
Thank you nOW I got it.

No I don't know how to factorize this kind of terms
 
587
0
[tex]a^3-b^3 = (a-b)(a^2+ab+b^2)[/tex]
Can you proceed?
 
31
0
Yes thanks
 

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