Use L'Hopital Rules to evaluate the following limits (a) $$ \lim_{x \to 1} \frac{x^{11} - 1}{x - 1} $$
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Numerator: $$1^{11} - 1 = 1 - 1 = 0$$ Denominator: $$1 - 1 = 0$$ Since the limit is in the indeterminate form $$\frac{0}{0}$$, we can apply L'Hopital's Rule. Show more…
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