AP EAMCET · Maths · Limits
If \(0 < p < q\), then \(\lim _{n \rightarrow \infty}\left(q^n+p^n\right)^{1 / n}\) is equal to :
- A \(e\)
- B \(p\)
- C \(q\)
- D 0
Answer & Solution
Correct Answer
(C) \(q\)
Step-by-step Solution
Detailed explanation
\(\lim _{n \rightarrow \infty}\left(q^n+p^n\right)^{1 / n}\) \(=q \lim _{n \rightarrow \infty}\left[1+\left(\frac{p}{q}\right)^n\right]^{1 / n}\)…
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