# Have certain limit and have to decide which statements are certainly correct

I have this limit

And have to decide which statements are certainly true.

I am sure that statement #5 is correct ,because 1 divided by minus infinity is zero. And it also says that 1 divided by minus infinity is not minus infinity and thus #6 is incorrect. So I have clue about 2 from 8 so far. Will you help me with others? thx a lot :)

Am I right now?

1. should be -infinity
2. should be -infinity
3. should be +infinity
4. should be -infinity
5. OK
6. should be 0
7. OK
8. should be + infinity
• 4 is false. We have $f(x^2)\to-\infty$. – Paramanand Singh Nov 23 '19 at 6:46
• Yea, now I see, if we have f(x)=-x,then f(x^2)=-(x)^2, so it is still minus infinity, thanks a lot! And want to ask you 5 and 7 are correct and every other is false, is that so? :) – naruto25 Nov 23 '19 at 10:37
• OK, I have edited my answers, is this correct? – naruto25 Nov 23 '19 at 13:28
• Looks ok now. +1 – Paramanand Singh Nov 23 '19 at 13:57
• Passed, thanks a lot, sir. :) – naruto25 Nov 23 '19 at 15:43