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pinch5lo3rleskrigan pinch5lo3rleskrigan
  • 26-11-2016
  • Mathematics
Answered

evaluate

lim x --> 1 [(x^1000)-1]/[x-1]

Verified Answer :

alsteva alsteva
  • 29-11-2016

Do L'hospital's rule.

\(\lim_{x \to 1} \frac{x^{1000}-1}{x-1}= \lim_{x \to 1} \frac{(x^{1000}-1)'}{(x-1)'}= \lim_{x \to 1} \frac{1000x^{999}}{1}= \\ \\ \frac{1000\times1^{999}}{1}=\frac{1000}{1}=1000\)

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