Mathematics · Calculus - Limits

The limit p = lim_{x → π} ((x 2 + αx + 2π 2 ) / (x - π + 2 sin x)) has a finite value for a real number α. The value of α and the corresponding limit p are given by:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Correct answer

α = -3π, and p = π

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The limit p = lim_{x &rarr; &pi;} ((x 2 + &alpha;x + 2&pi; 2 ) / (x - &pi; + 2 sin x)) has a finite value for a real number &alpha;. The value of &alpha; and the corresponding limit p are given by: