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Nilai dari adalah ...

Nilai dari $begin mathsize 14px style limit as x rightwards arrow 2 of invisible function application open parentheses x squared minus 4 x plus 5 close parentheses to the power of fraction numerator 1 over denominator x squared minus 4 x plus 4 end fraction end exponent end style$ adalah ...

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Perhatikan bahwa Sehingga Misalkan Sehingga ketika x → 2 , maka n → 0 . Maka

Perhatikan bahwa

size 14px lim with size 14px n size 14px rightwards arrow size 14px 0 below size 14px invisible function application open parentheses size 14px 1 size 14px plus size 14px n close parentheses to the power of size 14px 1 over size 14px n end exponent size 14px equals size 14px e

Sehingga

$size 14px lim with size 14px x size 14px rightwards arrow size 14px 2 below size 14px invisible function application open parentheses size 14px x to the power of size 14px 2 size 14px minus size 14px 4 size 14px x size 14px plus size 14px 5 close parentheses to the power of fraction numerator size 14px 1 over denominator size 14px x to the power of size 14px 2 size 14px minus size 14px 4 size 14px x size 14px plus size 14px 4 end fraction end exponent size 14px equals size 14px lim with size 14px x size 14px rightwards arrow size 14px 2 below size 14px invisible function application open parentheses size 14px 1 size 14px plus open parentheses size 14px x to the power of size 14px 2 size 14px minus size 14px 4 size 14px x size 14px plus size 14px 4 close parentheses close parentheses to the power of fraction numerator size 14px 1 over denominator size 14px x to the power of size 14px 2 size 14px minus size 14px 4 size 14px x size 14px plus size 14px 4 end fraction end exponent size 14px equals size 14px lim with size 14px x size 14px rightwards arrow size 14px 2 below size 14px invisible function application open parentheses size 14px 1 size 14px plus open parentheses size 14px x size 14px minus size 14px 2 close parentheses to the power of size 14px 2 close parentheses to the power of size 14px 1 over open parentheses size 14px x size 14px minus size 14px 2 close parentheses to the power of size 14px 2 end exponent$

Misalkan Sehingga ketika x → 2, maka n → 0.

Maka