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Les indeterminacions del tipus 1∞, es resolen amb:
 
bold lím open parentheses bold a subscript bold n close parentheses to the power of bold b subscript bold n end exponent bold equals bold space bold e to the power of bold lím open parentheses bold a subscript bold n bold minus bold 1 close parentheses bold times bold b subscript bold n end exponent
 

Atenció:

  •   begin mathsize 14px 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 14px 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 14px 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 14px 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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