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Mathematics LibreTexts

4.7: L'Hôpital's Rule

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  1. Compute limx0sinxx.
     
  2. Compute limx01cosxx.
     
  3. Compute limx2x2x24.
     
  4. Compute limx3x1x2+2x5.
     
  5. Computer limx0ex1x.
     
  6. Compute limxπxπsinx.
     
  7. Compute limx1x1sin1.
     
  8. Compute limx3x22x+52x6x2.
     
  9. Compute limxsinxx.
     
  10. Compute limx01+1x11x.
     
  11. Compute limx0+xlnx.
     
  12. Compute limxx2lnx.
     
  13. Compute limx(x2+1x2).
     
  14. Compute limx(x2+1+x2).
     
  15. Compute limx0+x1/x.
     
  16. Compute limx(1+1x)x.
     
  17. Compute limx0(1+1x)x.

4.7: L'Hôpital's Rule is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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