ارجو المساعدة

[My aim is paradise.]

étudier la convergence et limite éventuelle des suites dont le terme général est donné par les formules

Wn=2^n-7^n/6^n-4^n


Vn=n!/n!+n

[XBEY]

يالاولى خرجي 7 و 6 قوى n عامل مشترك تلاقي النهاية 00- يعني متباعدة..
http://latex.codecogs.com/gif.latex?%5Cdpi%7B120%7D%20%5Clim_%7Bn%5Crightarr ow%20+%5Cinfty%20%7DWn%3D%5Clim_%7Bn%5Crightarrow% 20+%5Cinfty%7D%20%5Cfrac%7B7%5E%7Bn%7D%28-1+%282/7%29%5E%7Bn%7D%29%7D%7B6%5E%7Bn%7D%281+%284/6%29%5E%7Bn%7D%29%7D%3D-%5Cinfty
2-
http://latex.codecogs.com/gif.latex?%5Cdpi%7B150%7D%20Vn%3D%5Cfrac%7Bn%21%7D %7Bn%21+n%7D%3D%5Cfrac%7B1%7D%7B1+%5Cfrac%7Bn%7D%7 Bn%21%7D%7D%3D%5Cfrac%7B1%7D%7B1+%5Cfrac%7B1%7D%7B %28n-1%29%21%7D%7D
http://latex.codecogs.com/gif.latex?%5Cdpi%7B120%7D%20%5Cfrac%7B1%7D%7B1+1/%28n%21%29%20%7D%20%5Cleq%20%5Cfrac%7B1%7D%7B1+%5C frac%7B1%7D%7B%28n-1%29%21%7D%7D%20%5Cleq%201/1

http://latex.codecogs.com/gif.latex?%5Cdpi%7B120%7D%20%5Cfrac%7B1%7D%7B1+1/%28n%21%29%20%7D%20%5Cleq%20%5Cfrac%7B1%7D%7B1+%5C frac%7B1%7D%7B%28n-1%29%21%7D%7D%20%5Cleq%201/1%5C%2C%20et%20%5Cfrac%7B1%7D%7Bn%7D%5Cgeq%20%5Cfr ac%7B1%7D%7Bn%21%7D

http://latex.codecogs.com/gif.latex?%5Cdpi%7B120%7D%201%5Cleq%20%5Clim_%7Bn% 5Crightarrow%20+%5Cinfty%20%7DVn%5Cleq%201%5CRight arrow%20%5Clim_%7Bn%5Crightarrow%20+%5Cinfty%20%7D Vn%3D1
donc Vn converget vers 1

[My aim is paradise.]

يالاولى خرجي 7 و 6 قوى n عامل مشترك تلاقي النهاية 00- يعني متباعدة..
http://latex.codecogs.com/gif.latex?%5Cdpi%7B120%7D%20%5Clim_%7Bn%5Crightarr ow%20+%5Cinfty%20%7DWn%3D%5Clim_%7Bn%5Crightarrow% 20+%5Cinfty%7D%20%5Cfrac%7B7%5E%7Bn%7D%28-1+%282/7%29%5E%7Bn%7D%29%7D%7B6%5E%7Bn%7D%281+%284/6%29%5E%7Bn%7D%29%7D%3D-%5Cinfty
2-
http://latex.codecogs.com/gif.latex?%5Cdpi%7B150%7D%20Vn%3D%5Cfrac%7Bn%21%7D %7Bn%21+n%7D%3D%5Cfrac%7B1%7D%7B1+%5Cfrac%7Bn%7D%7 Bn%21%7D%7D%3D%5Cfrac%7B1%7D%7B1+%5Cfrac%7B1%7D%7B %28n-1%29%21%7D%7D
http://latex.codecogs.com/gif.latex?%5Cdpi%7B120%7D%20%5Cfrac%7B1%7D%7B1+1/%28n%21%29%20%7D%20%5Cleq%20%5Cfrac%7B1%7D%7B1+%5C frac%7B1%7D%7B%28n-1%29%21%7D%7D%20%5Cleq%201/1

http://latex.codecogs.com/gif.latex?%5Cdpi%7B120%7D%20%5Cfrac%7B1%7D%7B1+1/%28n%21%29%20%7D%20%5Cleq%20%5Cfrac%7B1%7D%7B1+%5C frac%7B1%7D%7B%28n-1%29%21%7D%7D%20%5Cleq%201/1%5C%2C%20et%20%5Cfrac%7B1%7D%7Bn%7D%5Cgeq%20%5Cfr ac%7B1%7D%7Bn%21%7D

http://latex.codecogs.com/gif.latex?%5Cdpi%7B120%7D%201%5Cleq%20%5Clim_%7Bn% 5Crightarrow%20+%5Cinfty%20%7DVn%5Cleq%201%5CRight arrow%20%5Clim_%7Bn%5Crightarrow%20+%5Cinfty%20%7D Vn%3D1
donc Vn converget vers 1

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