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(C) આપણી પાસે $\mathop {\lim }\limits_{n 	o \infty } {({x^n} + {y^n})^{1/n}} = \mathop {\lim }\limits_{n 	o \infty } y {\left( 1 + {\left( \frac{x}{

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$y$

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(C) આપણી પાસે $\mathop {\lim }\limits_{n 	o \infty } {({x^n} + {y^n})^{1/n}} = \mathop {\lim }\limits_{n 	o \infty } y {\left( 1 + {\left( \frac{x}{y} ight)^n} ight)^{1/n}}$ છે.કારણ કે $0 જેમ $n 	o \infty$,તેમ ${\left( \frac{x}{y} ight)^n} 	o 0$ થાય.તેથી,$\mathop {\lim }\limits_{n 	o \infty } y {\left( 1 + {\left( \frac{x}{y} ight)^n} ight)^{1/n}} = y {(1 + 0)^0} = y(1) = y$.

જો $0 < x < y$ હોય,તો $\mathop {\lim }\limits_{n \to \infty } {({y^n} + {x^n})^{1/n}}$ ની કિંમત શું થાય?

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