No. 17_Soal Asli UTBK 2019 Matematika Saintek

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Jika $\underset{x\to 1}{\mathop{\lim }}\,\frac{({{x}^{2}}-x+a)-{{a}^{3}}}{{{x}^{2}}+x-2}=L$, maka nilai dari $\underset{x\to 1}{\mathop{\lim }}\,\frac{2x({{x}^{2}}-x+a)-2{{a}^{3}}x}{{{x}^{2}}+x-2}$ = …
A. $\frac{1}{3}L$
B. $\frac{1}{2}L$
C. L
D. 2L
E. 3L