If lim x → 0 ( ( a - n ) nx - tan x)sin nx x 2 = 0 , where n is a non zero real number, then a is equal to

Question

If lim x → 0 ( ( a - n ) nx - tan x)sin nx x 2 = 0 , where n is a non zero real number, then a is equal to, 0, n + 1 n, n, n + 1 n

MARKS App · Accepted Answer

lim x → 0 ( ( a - n ) n x - tan x)sin nx x 2 = 0 ⇒ lim x → 0 a - n n - tan x x sin nx x = 0 ⇒ a - n n - 1 n = 0 ⇒ a - n n - 1 = 0 ∵ n ≠ 0 ∴ a = n + 1 n

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