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Abdul Wahid @abdoelwahid
(5) Sekarang kita akan bahas tentang Limit Fungsi
Abdul Wahid @abdoelwahid
(6.1) Persamaan2 Limit Fungsi. Bila diketahui lim x->a|f(x)=f(a) dan lim x->a|g(x)=g(a) maka lim x->a|{f(x)±g(x)}= f(a)±g(a)
Abdul Wahid @abdoelwahid
(6.2) lim x->a|{f(x)•g(x)}= f(a)•g(a)
Abdul Wahid @abdoelwahid
(6.3) lim x->a|{f(x)/g(x)}= f(a)/g(a)
Abdul Wahid @abdoelwahid
(6.4) lim x->a|{f(x)}^n = {f(a)}^n
Abdul Wahid @abdoelwahid
(6.5) lim x->a|{f(x)}^(1/n) = {f(a)}^(1/n)
Abdul Wahid @abdoelwahid
(6.6) lim x->a|{f(x)}^n = {lim x->a|f(x)}^n = {f(a)}^n
Abdul Wahid @abdoelwahid
(6.7) lim x->a|{f(x)}^(1/n) = {lim x->a|f(x)}^(1/n) = {f(a)}^(1/n)
Abdul Wahid @abdoelwahid
(6.8) lim x->a| ln f(x) = ln {lim x->a|f(x)} = ln f(a) dimana f(a) tidak sama dengan nol
Abdul Wahid @abdoelwahid
(7) Jika limit Kondisi ill hospital maka harus disederhanakan. Kondisi ill hospital meliputi 0/0, ~/~, ~ - ~, 0^0, ~^~, 1^~ dll
Abdul Wahid @abdoelwahid
(8.1) Cyclometri lim x->0|(sin x)/x = lim x->0|x/sin x = 1
Abdul Wahid @abdoelwahid
(8.2) lim x->0|(tg x)/x = lim x->0|x/tg x = 1
Abdul Wahid @abdoelwahid
(8.3) lim x->0|(arc sin x)/x = lim x->0|x/arc sin x = 1
Abdul Wahid @abdoelwahid
(8.4) lim x->0|(arc tg x)/x = lim x->0|x/arc tg x = 1
Abdul Wahid @abdoelwahid
(9.1) Exponential lim x->0|{1+x}^(1/x) = e
Abdul Wahid @abdoelwahid
(9.3) lim x->a|{1+f(x)}^g(x) = e^{lim x->a|f(x)•g(x)} dg syarat: 1.) lim x->a|f(x)=0; 2.) lim x->a|g(x)=~; 3.) lim x->a|f(x)•g(x) ada nilai
Abdul Wahid @abdoelwahid
(10) #M1 coba dikerjakan soal berikut : Tentukan lim x->phi| (tg phi)/(phi-x)

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