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x → 4 lim ​ 5 − x 2 + 9 ​ 4 − x ​ = ...

 

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Tips : hindari pembagian atau nilai tak tentu. Langkah 1 : gunakan konsep rasionalisasi akar. Langkah 2 : substitusikan .

Tips : hindari pembagian begin mathsize 14px style 0 over 0 end style atau nilai tak tentu.

Langkah 1 : gunakan konsep rasionalisasi akar.

Langkah 2 : substitusikan begin mathsize 14px style x equals 4 end style.

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 4 below fraction numerator size 14px 4 size 14px minus size 14px x over denominator size 14px 5 size 14px minus square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 9 end root end fraction end cell size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 4 below fraction numerator size 14px 4 size 14px minus size 14px x over denominator size 14px 5 size 14px minus square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 9 end root end fraction size 14px cross times fraction numerator size 14px 5 size 14px plus square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 9 end root over denominator size 14px 5 size 14px plus square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 9 end root end fraction end cell row blank size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 4 below fraction numerator size 14px left parenthesis size 14px 4 size 14px minus size 14px x size 14px right parenthesis begin mathsize 14px style left parenthesis 5 plus square root of x squared plus 9 end root right parenthesis end style over denominator size 14px 25 size 14px minus size 14px left parenthesis size 14px x to the power of size 14px 2 size 14px plus size 14px 9 size 14px right parenthesis end fraction end cell row blank size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 4 below fraction numerator size 14px left parenthesis size 14px 4 size 14px minus size 14px x size 14px right parenthesis size 14px left parenthesis size 14px 5 size 14px plus square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 9 end root size 14px right parenthesis over denominator size 14px 16 size 14px minus size 14px x to the power of size 14px 2 end fraction end cell row blank size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 4 below fraction numerator size 14px left parenthesis size 14px 4 size 14px minus size 14px x size 14px right parenthesis size 14px left parenthesis size 14px 5 size 14px plus square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 9 end root size 14px right parenthesis over denominator size 14px left parenthesis size 14px 4 size 14px minus size 14px x size 14px right parenthesis size 14px left parenthesis size 14px 4 size 14px plus size 14px x size 14px right parenthesis end fraction end cell row blank size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 4 below fraction numerator size 14px left parenthesis size 14px 5 size 14px plus square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 9 end root size 14px right parenthesis over denominator size 14px left parenthesis size 14px 4 size 14px plus size 14px x size 14px right parenthesis end fraction end cell row blank size 14px equals cell fraction numerator size 14px left parenthesis size 14px 5 size 14px plus square root of size 14px 4 to the power of size 14px 2 size 14px plus size 14px 9 end root size 14px right parenthesis over denominator size 14px left parenthesis size 14px 4 size 14px plus size 14px 4 size 14px right parenthesis end fraction end cell row blank size 14px equals cell size 14px 10 over size 14px 8 end cell row blank size 14px equals cell size 14px 5 over size 14px 4 end cell end table 

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