CK-12-Pre-Calculus Concepts

(Marvins-Underground-K-12) #1

14.5. Rationalization to Find Limits http://www.ck12.org



  1. limx→ 4


√ 3 x+ 4 −x
4 −x


  1. limx→ 02 −


√x+ 4
x


  1. limx→ 0


√x+ 7 −√ 7
x



  1. limx→ (^16416) −−√xx




  2. limx→ 0 √x (^2) +x 122 −√ 12




  3. limx→ 2




√ 2 x+ 5 −√x+ 7
x− 2


  1. limx→ 11 −


√x
1 −x


  1. limx→ 1939 √x−x^1 − 1

  2. limx→ 424 √x^2 −x^64 − 4

  3. limx→ 99 x 92 −−^903 √x+x^81

  4. When given a limit to evaluate, how do you know when to use the rationalization technique? What will the
    function look like?

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