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arsen [322]
4 years ago
12

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

Mathematics
1 answer:
Ghella [55]4 years ago
6 0
<span>Do L'hospital's rule.

</span>\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}=&#10;\\&#10;\\ \frac{1000\times1^{999}}{1}=\frac{1000}{1}=1000<span>
</span>
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