Analysis: Limits, strictly increasing, differentiability

  • #1
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I've worked all of these out. I'm mostly confident I did them correctly, but I'm prone to overlook subtleties or counterexamples sometimes.

http://i111.photobucket.com/albums/n149/camarolt4z28/1ab-1.png [Broken]

http://i111.photobucket.com/albums/n149/camarolt4z28/1gf2-1.png [Broken]
 
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Answers and Replies

  • #2
SammyS
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1. b is false.

Is f(x) positive ?

I'll look at the other problem soon.
 
  • #3
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1. b is false.

Is f(x) positive ?

I'll look at the other problem soon.
Oh. You're saying the limit could be negative infinity, too, not just positive infinity. That's true.
 
  • #4
SammyS
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Or, f(x) could alternate from large positive to large negative values as x → ∞.
 
  • #5
SammyS
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The second link looked OK to me.
 
  • #6
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The second link looked OK to me.
Good catch on (b). Thanks for the review!
 
  • #7
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Its possible your professor wants you to write out your steps a bit more.
 
  • #8
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Its possible your professor wants you to write out your steps a bit more.
For which ones?
 

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