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Hasil dari begin mathsize 14px style limit as x rightwards arrow infinity of invisible function application open parentheses square root of 16 x minus 7 square root of x minus 4 end root minus square root of 9 x plus 3 square root of x plus 5 end root close parentheses end style  adalah ....

  1. size 14px minus size 14px infinity size 14px space 

  2. size 14px minus size 14px 10 size 14px space  

  3. size 14px minus size 14px 1 over size 14px 2 size 14px space    

  4. size 14px 25 size 14px space   

  5. size 14px infinity  

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Pembahasan

Misalkan Sehingga Perhatikan bahwa jika x → ∞ , maka y → ∞ . Sehingga Dari bentuk tersebut didapat bahwa Karena a > p, maka Sehingga

Misalkan size 14px y size 14px equals square root of size 14px x size 14px comma  Sehingga size 14px x size 14px equals size 14px y to the power of size 14px 2 size 14px.        

Perhatikan bahwa jika x → ∞ , maka y → ∞ .

Sehingga

size 14px lim with size 14px x size 14px rightwards arrow size 14px infinity below size 14px invisible function application open parentheses square root of size 14px 16 size 14px x size 14px minus size 14px 7 square root of size 14px x size 14px minus size 14px 4 end root size 14px minus square root of size 14px 9 size 14px x size 14px plus size 14px 3 square root of size 14px x size 14px plus size 14px 5 end root close parentheses size 14px equals size 14px lim with size 14px y size 14px rightwards arrow size 14px infinity below size 14px invisible function application open parentheses square root of size 14px 16 size 14px y to the power of size 14px 2 size 14px minus size 14px 7 size 14px y size 14px minus size 14px 4 end root size 14px minus square root of size 14px 9 size 14px y to the power of size 14px 2 size 14px plus size 14px 3 size 14px y size 14px plus size 14px 5 end root close parentheses    

Dari bentuk tersebut didapat bahwa

size 14px a size 14px equals size 14px 16 size 14px b size 14px equals size 14px minus size 14px 7 size 14px c size 14px equals size 14px minus size 14px 4 size 14px p size 14px equals size 14px 9 size 14px q size 14px equals size 14px 3 size 14px r size 14px equals size 14px 5    

Karena a > p, maka

size 14px lim with size 14px y size 14px rightwards arrow size 14px infinity below size 14px invisible function application open parentheses square root of size 14px 16 size 14px y to the power of size 14px 2 size 14px minus size 14px 7 size 14px y size 14px minus size 14px 4 end root size 14px minus square root of size 14px 9 size 14px y to the power of size 14px 2 size 14px plus size 14px 3 size 14px y size 14px plus size 14px 5 end root close parentheses size 14px equals size 14px infinity    

Sehingga

size 14px lim with size 14px x size 14px rightwards arrow size 14px infinity below size 14px invisible function application open parentheses square root of size 14px 16 size 14px x size 14px minus size 14px 7 square root of size 14px x size 14px minus size 14px 4 end root size 14px minus square root of size 14px 9 size 14px x size 14px plus size 14px 3 square root of size 14px x size 14px plus size 14px 5 end root close parentheses size 14px equals size 14px infinity   

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