1 x x x 3 )9sin( lim 2 3 2 32 8 )2sin( lim x x x 3 1 tan lim 1 x x x 4 1 tan lim 1 x x x 5 1 )1tan( lim 1 x x x 6 2 2 1 tanlim x x x 7 x x x 7tan 2tan lim 2 8 x x x 3sin cos1 lim 1 9 xx x x 3sin 8cos1.
Review Exercises In Problems through 50 evaluate indeterminate forms: sin( x 9) lim x 3 x tan x lim x x tan( x 1) lim x x tan x lim tan x x sin( x 2) x3 x tan x lim x x 1 lim x tan x x lim x 11 13 cos x x sin x lim x arcsin(1 x ) lim x 1 x x 3x x 3x lim ( ) x x 2x x lim x x 15 17 lim (5 x 19 lim 21 23 25 27 10 x x cos x cos x lim x arctan( x 3x 2) 12 lim x x2 x x x x 3x 14 lim ( ) x x x 5x x lim x x 16 3x 2x 14) x 18 ln(1 x ) x sin x 20 lim x (ln(2 x 5) ln x ) 22 x ex lim x x 3x e cos x x lim x ln(1 x ) tan x 24 26 lim (cos x ) sin x x ln(1 arcsin x ) x tan x x ) lim ( x ln x x e tan x lim x sin x e x arctan 3x lim x arcsin x x sin x lim 4x lim x tan x 28 6x2 lim x x ln(1 x ) 30 (1 x )1000 lim x (1 x )1000 29 cos x sin x lim 10 x lim x 4x 1 ln 1 x arcsin x 31 lim 32 tan3x e cos x x lim x x ln(1 x ) tan x x 0 33 35 lim x 0 37 34 4 x 36 x arcsin x cos x tan x x ln x 1 lim x 1 tan x 39 lim x 0 43 lim 1 ln x lim x ln x lim 42 x 1 lim x 0 sin x 3x 1 1 lim x sin x x 6x x 44 2ln x lim e x x x x 46 1 ln x 48 2a x x a a x a ax a sin x Find a,b: lim 1 x 0 x b x x a 49 ln x lim 40 x0 47 tan x x x arcsin x x x 45 ln cos x x x x arctan x 38 lim cot x x 0 sin x lim x 1 ln x x 1 41 ex e x 1 x sin x ln(1 x) arctan x lim x 0 x arctan x e6 x lim 50 lim x 0 cos x sin x x x e e 2x lim x x x ln(1 x ) Find a,b: lim x 0 sin ax bx 36 x3