(2) \( \lim _{x \rightarrow 18} \frac{2 x^{2}+12 x-864}{9 x^{2}-155 x-126} \)

Calculate the limit \( \lim _{x \rightarrow 18} \frac{2 x^{2}+12 x-864}{9 x^{2}-155 x-126} \). Evaluate the limit by following steps: - step0: Evaluate using transformations: \(\lim _{x\rightarrow 18}\left(\frac{2x^{2}+12x-864}{9x^{2}-155x-126}\right)\) - step1: Reduce the fraction: \(\lim _{x\rightarrow 18}\left(\frac{\left(x+24\right)\times 2}{9x+7}\right)\) - step2: Rewrite the expression: \(\frac{\lim _{x\rightarrow 18}\left(\left(x+24\right)\times 2\right)}{\lim _{x\rightarrow 18}\left(9x+7\right)}\) - step3: Evaluate: \(\frac{84}{\lim _{x\rightarrow 18}\left(9x+7\right)}\) - step4: Evaluate: \(\frac{84}{169}\) La solución de la expresión \( \lim _{x \rightarrow 18} \frac{2 x^{2}+12 x-864}{9 x^{2}-155 x-126} \) es \( \frac{84}{169} \).