I have this limit

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And have to decide which statements are certainly true.

enter image description here

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 :)


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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
  • 1
    $\begingroup$ 4 is false. We have $f(x^2)\to-\infty $. $\endgroup$ – Paramanand Singh Nov 23 '19 at 6:46
  • $\begingroup$ 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? :) $\endgroup$ – naruto25 Nov 23 '19 at 10:37
  • $\begingroup$ OK, I have edited my answers, is this correct? $\endgroup$ – naruto25 Nov 23 '19 at 13:28
  • 1
    $\begingroup$ Looks ok now. +1 $\endgroup$ – Paramanand Singh Nov 23 '19 at 13:57
  • $\begingroup$ Passed, thanks a lot, sir. :) $\endgroup$ – naruto25 Nov 23 '19 at 15:43

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