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Límit de funcions exponencials
Si una funció exponencial presenta una indeterminació del tipus 1+oo es resol amb l'expressió
bold lím with bold x rightwards arrow plus infinity below open square brackets bold f left parenthesis bold x right parenthesis close square brackets to the power of bold g left parenthesis bold x right parenthesis end exponent space equals space bold e to the power of bold lím with bold x rightwards arrow plus infinity below open square brackets bold f left parenthesis bold x right parenthesis minus 1 close square brackets times bold g left parenthesis bold x right parenthesis end exponent
 

Atenció:

  •   begin mathsize 12px style bold e to the power of bold plus bold infinity end exponent bold space bold equals bold space bold plus bold infinity end style
  •  begin mathsize 12px style bold e to the power of bold minus bold infinity end exponent bold equals bold 1 over bold e to the power of bold plus bold infinity end exponent bold equals fraction numerator bold 1 over denominator bold plus bold infinity end fraction bold equals bold 0 end style
  • begin mathsize 12px style bold e to the power of bold 3 over bold 4 end exponent bold equals root index bold 4 of bold e to the power of bold 3 end root end style
  • begin mathsize 12px style bold e to the power of bold minus bold 3 over bold 4 end exponent bold equals fraction numerator bold 1 over denominator root index bold 4 of bold e to the power of bold 3 end root end fraction bold equals fraction numerator root index bold 4 of bold e over denominator root index bold 4 of bold e to the power of bold 3 end root bold times root index bold 4 of bold e end fraction bold equals fraction numerator root index bold 4 of bold e over denominator bold e end fraction end style 

 
 
 
 
 
 
 
 
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