If `lim_(x to 0) ({(a-n)nx - tan x} sin nx)/x^(2) = 0`, where n is non-zero real number, then a is equal to

If `lim_(x to 0) ({(a-n)nx - tan x} sin nx)/x^(2) = 0`, where n is non

1.	If `lim_(x to 0) ({(a-n)nx - tan x} sin nx)/x^(2) = 0`, where n is non-zero real number, then a is equal to
Answer» Correct Answer - D Given, `underset(x to 0) lim({(a-n)nx-tan x } sin nx )/x^(2) = 0` ` rArr underset( xto0)lim {(a-n)-(tan x)/x}(sin n x)/(n x ) xx n = 0 ` `rArr " "{(a-n) n = 0` ` rArr" "(a-n) n= 1` ` rArr" " a = n + 1/n`