... 5 1. xx0 lim f (x) = A, A = , g (x) x x0 . ... 1.1.3. 1. , a) sin x x, x c) sin x = O(x), x a) D = lim 0; b) sin x = o(x), x ; R. R , x0 = 0 , f (x) = sin x , g (x) = x . ... x 0 : ex - 1 x , ln(1 + x) x , (1 + x)a - 1 a · x , a R , sin x x , x2 1 - cos x , 2 tg x x , arcsin x x , arctg x x . ... x2 = lim f (x) : 1 1 x(2 + x) = lim · cos x x 3x - 10 x x+2 1 · cos 3x - 10 x = = , 1 , 3 = lim x · x x+2 1 · cos x 3x - 10 x lim 1 9. f (x) = x2 · sin x x = 0 . ... n n sin 1 = 0 lim cos n = 0 . ...