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Question: Answered & Verified by Expert
If \(a>0, n \in \mathbf{R}\), then \(\lim _{x \rightarrow a} x^n=\ldots\).
MathematicsLimitsAP EAMCETAP EAMCET 2020 (17 Sep Shift 1)
Options:
  • A \(n a^n\)
  • B \((n-1) a^n\)
  • C \(n a^{n-1}\)
  • D \(a^n\)
Solution:
2633 Upvotes Verified Answer
The correct answer is: \(a^n\)
If \(a > 0, n \in \mathbf{R}\)
\(\Rightarrow \quad \lim _{x \rightarrow a} x^n=a^n\)

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