anonymous one year ago Lim sqrt (2c-a) -a/a-c x -> ∞

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1. anonymous

$\lim x ->\infty \left(\begin{matrix}\sqrt{(2c-a)} -a\\ a-c\end{matrix}\right)$

2. dan815

|dw:1436230985174:dw|

3. dan815

|dw:1436231037370:dw|

4. dan815

lim c--> inf? a--> inf?

5. anonymous

Why are you putting factorials in

6. anonymous

I'll assume the x should be c or a, doesn't matter Do you know to multiply top and bottom by (sqrt 2c-a) +a

7. dan815

misunderstood question

8. anonymous

and once you do you have (2c-a)-a on top (a-c)(sqrt (2c-a) + a on bottom now factor out -2 on top and you have -2(a-c) -a and you can cancel out the (a-c)

9. anonymous

and now you are at the point where it matters if your x is supposed to be a or c

10. anonymous

My x is c

11. anonymous

ok its 0 then

12. anonymous

did you follow the above steps or would it be easier in equation form

13. dan815

|dw:1436231821569:dw|

14. anonymous

15. anonymous

dan815 but if you repalce x for a you got a indetermination

16. dan815

can you clarify your question lim ?-->inf

17. anonymous

Is lim when c --> a sorry I misspelled the question

18. dan815

oh in that case, you have to follow kheaths steps

19. dan815

|dw:1436232533144:dw|

20. dan815

looks like he did not give you the right steps exactly, so work it out from here

21. dan815

@ganeshie8

22. dan815

|dw:1436233090915:dw|

23. ganeshie8

looks the original question has so many typoes @Gloria63 please take a screenshot and attach if psble

24. anonymous

$\lim c ->a, \frac{ \sqrt{(2c-a)} -a}{a -c }$

25. anonymous

26. anonymous

@ganeshie8 this is the original source

27. ganeshie8

not so sure wolf says the two sided limit doesn't exist http://www.wolframalpha.com/input/?i=lim%28c%5Cto+a%29+%28sqrt%282c-a%29-a%29%2F%28a-c%29

28. ganeshie8

@dan815

29. anonymous

Tyvm to all for your help.