limit bentuk 0/0
12. lim (x -> 0) { sin 5x - sin 3x } / { x cos x }
= lim (x -> 0 ) 1/x ( sin 5x - sin 3x) / cos x
= lim (x -> 0) (sin 5x/ x - sin 3x/x) / lim x -> 0 cos x
= (5 - 3)/ 1
= 2
*
13. lim (x -> 0) { 3 sin 1/2 x } / { tan 1/3 x}
= 3 (1/2) / (1/3)
= (3/2) / (1/3)
= 9/2
= 4 ¹/₂
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
limit bentuk 0/0
12. lim (x -> 0) { sin 5x - sin 3x } / { x cos x }
= lim (x -> 0 ) 1/x ( sin 5x - sin 3x) / cos x
= lim (x -> 0) (sin 5x/ x - sin 3x/x) / lim x -> 0 cos x
= (5 - 3)/ 1
= 2
*
13. lim (x -> 0) { 3 sin 1/2 x } / { tan 1/3 x}
= 3 (1/2) / (1/3)
= (3/2) / (1/3)
= 9/2
= 4 ¹/₂