If $0 < x < y$, then $\mathop {\lim }\limits_{n \to \infty } {\left( {{y^n} + {x^n}} \right)^{1/n}}$ is equal to

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

0 < x < y

, then

\lim\limits_{n \to \infty } {\left( {{y^n} + {x^n}} \right)^{1/n}}

is equal to

View answer and explanation

Correct option: C

y

Option C (

y

) is correct because as

n

approaches infinity, the term with the larger base (

y

) dominates the expression.

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