## nickymarden Group Title ... 2 years ago 2 years ago

1. apoorvk Group Title

....

2. apoorvk Group Title

. . . . .

3. lgbasallote Group Title

???

4. nickymarden Group Title

calculate this limit $\lim_{x \rightarrow 2^{+}}\sqrt{x-2}$

5. apoorvk Group Title

aah so you have a question, sorry, will solve it then.

6. satellite73 Group Title

zero from your eyes replace x by 2

7. nickymarden Group Title

then see if this one exists $\lim_{x \rightarrow 2^{-}}\sqrt{x-2}$

8. satellite73 Group Title

no because the domain of $$\sqrt{x-2}$$ is $$x\geq 2$$ so you cannot replace x by values less than 2

9. apoorvk Group Title

well, for 2+, limit exists. put just replace the x=2+ (since we do not have to overcome any indeterminant form) now 2+ is basically a no. a very wee bit larger than 2. that is about... "2.000000...001" so square root of (0.0000000...0001) is almost negligible, that is zero. So, '0'.

10. apoorvk Group Title

LHL of 2+ is 2. RHL is a wee bit more that 2.000...001, you can say 2.000....002

11. apoorvk Group Title

so when 2- isnt coming into the picture, so we don't have a prob there with domain or what lies under the square root. You're welcome

12. nickymarden Group Title

yup. thank u. i think the person tha wrote the answers to this exercise list was on crack.

13. apoorvk Group Title

Oh sorry I didn't see the other question you had posted, I was only explaining the earlier problem. wait.

14. apoorvk Group Title

In the second problem, Limit doesnt exist, exactly for the same reasons that they do in the first problem

15. apoorvk Group Title

@nickymarden

16. nickymarden Group Title

yeah, thats the answer i got, but here it says the limit is 1. This professor is mental lol

17. nickymarden Group Title

doesn't know how to type

18. apoorvk Group Title

nope, limit can't be possibly one. there may have been a printing or typing error, not necessarily your prof's fault.

19. TuringTest Group Title

this is like the fifth problem I've seen of yours with the incorrect answer I feel for you :P

20. nickymarden Group Title

seee, everytime i think i'm going crazy..but thank you guys, AGAIN.

21. TuringTest Group Title

very welcome!