Evaluate the Given limit: \( \lim\limits_{x \to 1} \dfrac{x^{10+x^5+1}}{x-1} \)
\( \lim\limits_{x \to 1} \dfrac{x^{10+x^5+1}}{x-1} \)
= \( \dfrac{(-1)^{10}+(-1)^5+1}{-1-1} \)
= \( \dfrac{1-1+1}{-2} =-\dfrac{1}{2}\)
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