Rabu, 25 September 2013

limit

Rumus lengkap Limit Fungsi
Description: http://i.ytimg.com/vi/fjcHK6GGqm8/0.jpg
 LIMIT FUNGSI
A. Sifat - Sifat Limit
Description: https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgh5Jz3NOX_ZN57jqEs67r7qGqD5kyrq2ygE4AIqI0kSPH6xTmILe0-v0fJRD6uOyd4zkEqM2s6rkGXD6omehAvo9NGkTZN_ztPX1TRx_884Nz0kYKh9HzbUAWe2KsTYf_YRL0HxquwSEWF/s320/3.PNG

B. Rumus-Rumus Besar Limit
Description: https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgm0WRRpbhe7OwvbCZZ8RUOTeYSjc7TAUIuZmxc4D99qDYwk1z0zQd5xvjl21tYfqhsfMmYe4XwemeKCFwKOmXTtubI0csVzgXXyXia6diN_rAen5eTFhaDWvAaaGQ1DTa4XoyNxB3agqVo/s320/4.PNG
C. RUMUS LIMIT FUNGSI TRIGONOMETRI
Description: https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_AxIMRHGKU_vjv_mslxjGAarBlZyMHCsoQo38n2WZvNTA3DRkxzi0DRKGntKfPAQHpKjsF69Rn5MO5QIGtoAw182g2aGJPqvctTBIEjj3IJJ7bcB08zbm7yqJgrObeycXdEmk0CKPnsvq/s320/5.PNG

D. CARA MENENTUKAN LIMIT

Description: https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdMxMF1IVILXqZ9gCAiT6MCaCwMJmd592z7lS0I3y-C4ifZClHkTMH87iGTqidc34ebpH2bNYl2yyLGwi7bEm8KLCtnCbVK8Yr0mtSmDc4UfS00Aj9w6Ab8k5NeN5jQQe5ECaFzlCjfMTy/s320/6.PNG


CONTOH SOAL


1.
Description: https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEji8-xKlZPYE1DFe-MI_VRu5-M-eGeCg4r2sKYpTa0AZumNtq-bOwxjuZu7Rko_foDk7M4DZ6o2tW3KrZ-g_90MncJt__gvMrfoMvXomEj5XgYzfggcMf8Z0D5dUzotDfZIHRnNUsDu1vzB/s320/7.PNG

2.
Description: https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhaBGmeaVNgqHsQC5-Zx3IMDtb6YA19UDI_6AzqK9g5EFAkmc5XLbUU89xFXurfiKoDb8w0dwh8Pa_nRMrUeKMdtkTsGisCrdwEpTqzbtvVUctFocgCQNMnOyk2W2qNNA66nJWf4QV9lMsj/s320/8.PNG
3.
Description: https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghiau3BR3343Is8FetUvzpQlNwYR1lxKqnTmOlcR-OPai3aiyCkQsl-kxl3MwGwrl89Fpu6GSXSJaFt9NYJJSjmuxWnfmfHRJb1VrZXJT-Qo2O-ElGR__a18iLiFTdq06avmRkH8rRtI26/s320/9.PNG 

CONTOH SOAL LIMIT FUNGSI
Di bawah ini diberikan beberapa contoh soal limit fungsi

1. Limit Fungsi Aljabar Untuk 
Description: http://latex.codecogs.com/gif.latex?x%5Crightarrow%20a
Hitung nilai limit fungsi berikut:
Description: http://latex.codecogs.com/gif.latex?%5Clim_%7Bx%5Crightarrow%202%7D%5Cfrac%7Bx%5E%7B2%7D-5x+6%7D%7Bx%5E%7B2%7D-x-2%7D
Jawab:
Description: http://latex.codecogs.com/gif.latex?%5Clim_%7Bx%5Crightarrow%202%7D%5Cfrac%7Bx%5E%7B2%7D-5x+6%7D%7Bx%5E%7B2%7D-x-2%7D


2. Limit Fungsi Aljabar Untuk 
Description: http://latex.codecogs.com/gif.latex?x%20%5Cto%20%5Cinfty
Hitung nilai limit fungsi berikut:
Description: http://latex.codecogs.com/gif.latex?%5Clim_%7Bx%20%5Cto%20%5Cinfty%20%7D%5Cleft%20%28%20%5Csqrt%7Bx+3%7D%20-%5Csqrt%7Bx+2%7D%5Cright%20%29
Jawab:
Description: http://latex.codecogs.com/gif.latex?%5Clim_%7Bx%20%5Cto%20%5Cinfty%20%7D%5Cleft%20%28%20%5Csqrt%7Bx+3%7D%20-%5Csqrt%7Bx+2%7D%5Cright%20%29
Description: http://latex.codecogs.com/gif.latex?=%5Clim_%7Bx%20%5Cto%20%5Cinfty%20%7D%5Cleft%20%28%20%5Csqrt%7Bx+3%7D-%5Csqrt%7Bx+2%7D%20%5Cright%20%29%5Ctimes%20%5Cfrac%7B%5Csqrt%7Bx+3%7D+%5Csqrt%7Bx+2%7D%7D%7B%5Csqrt%7Bx+3%7D+%5Csqrt%7Bx+2%7D%7D

(Ingat bahwa, pada limit fungsi aljabar untuk 
Description: http://latex.codecogs.com/gif.latex?x%20%5Cto%20%5Cinfty, jika pangkat tertinggi pembilang lebih kecil dari pangkat tertinggi penyebut, maka hasilnya selalu sama dengan nol (0))

3. Limit Fungsi Trigonometri
Hitung nilai limit fungsi berikut:
Description: http://latex.codecogs.com/gif.latex?%5Clim_%7Bx%5Crightarrow%200%7D%5Cfrac%7Bcos2x-1%7D%7Bx%5E%7B2%7D%7D
Jawab:
Description: http://latex.codecogs.com/gif.latex?%5Clim_%7Bx%5Crightarrow%200%7D%5Cfrac%7Bcos2x-1%7D%7Bx%5E%7B2%7D%7D


Mungkin, jika anda hanya membaca contoh soal di atas, semua terasa sulit dan membingungkan. Tapi tidak perlu khawatir, kalau kita mau menekuni Matematika, Insya Allah, Matematika akan terasa indah dan menyenangkan



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