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

JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

0 < p < q

, then

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

is equal to

View answer and explanation

Correct option: C

q

Option C (

q

) is correct because as

n

approaches infinity, the term with the larger base (

q

) dominates, and the limit approaches

q

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