Whakaoti i te S_{n}=frac{A_{n}}{(A_{n})}

$$S _ { n } = \frac { A _ { n } } { ( A _ { n } ) }$$

Whakaoti mō A_n

$$A_{n}\neq 0$$

$$S_{n}=1\text{ and }A_{n}\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe A_{n} ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te A_{n}.

$$S_{n}A_{n}=A_{n}$$

Tangohia te A_{n} mai i ngā taha e rua.

$$S_{n}A_{n}-A_{n}=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te A_{n}.

$$\left(S_{n}-1\right)A_{n}=0$$

Whakawehe 0 ki te S_{n}-1.

$$A_{n}=0$$

Tē taea kia ōrite te tāupe A_{n} ki 0.

$$A_{n}\in \emptyset$$

Whakaoti mō S_n

$$S_{n}=1$$

$$A_{n}\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakakore tahi te A_{n} i te taurunga me te tauraro.

$$S_{n}=1$$