[Step-by-Step] (a) Showing all steps, analytically determine the exact value of the limit lim _x \rightarrow 1 (2 x^4+2 x^3+4 x^2+2 x-10)/(sin (π x))


Question: (a) Showing all steps, analytically determine the exact value of the limit \(\lim _{x \rightarrow 1} \frac{2 x^{4}+2 x^{3}+4 x^{2}+2 x-10}{\sin (\pi x)}\)

(b) Enter the value you obtain, accurate to 3 decimal places. \(\lim _{x \rightarrow 1} \frac{2 x^{4}+2 x^{3}+4 x^{2}+2 x-10}{\sin (\pi x)} \approx\)

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