Academic Recap

lim(x→∞) 2x sin(y/2x) = ?

A
y
B
2
C
2y
D
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ব্যাখ্যা (Explanation):

u = y/2x ধরলে, x → ∞ হলে u → 0। লিমিটটি দাঁড়ায় lim(u→0) (y/u) sin u = y × lim(u→0) (sin u / u) = y × 1 = y।

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