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omgitsana

calculus: f(x)=(sin(x+1)/(x+1). does it have a vertical asymptote or a removeable discontinuity at x=-1??

  • one year ago
  • one year ago

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  1. inkyvoyd
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    Well, how do you think you should start this problem?

    • one year ago
  2. omgitsana
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    well my main concern is idk if you can cancel the x+1 out

    • one year ago
  3. inkyvoyd
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    Of course you can't. Find the limits manually.

    • one year ago
  4. inkyvoyd
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    Or, you can use l'hopital's rule given that you have learned it.

    • one year ago
  5. lisapeajac
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    cannot cancel because it is not the exact same!!!

    • one year ago
  6. inkyvoyd
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    and, here's a hint: sin(a+b)=sin(a)cos(b)+sin(b)cos(a)

    • one year ago
  7. omgitsana
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    oh ok so it has vertical asymp?

    • one year ago
  8. inkyvoyd
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    Find the left and right hand limits. Are they the same?

    • one year ago
  9. inkyvoyd
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    \[\lim_{x \rightarrow -1^-}=\lim_{x \rightarrow -1^+}\] is what I'm asking here.

    • one year ago
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