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Question 240018
JEE Mathematics · Easy

Limits and Continuity: Mixed MCQ

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MixedEasyQuestion 240018

Question

lim(x→1) (xⁿ − 1)/(x − 1) equals:
  1. A
    n
    Correct
  2. B
    n−1
  3. C
    1
  4. D
    0

Correct answer

n

Explanation

Using the standard result: lim(x→a) (xⁿ − aⁿ)/(x − a) = naⁿ⁻¹. Here a = 1: lim(x→1) (xⁿ − 1)/(x − 1) = n × 1ⁿ⁻¹ = n.

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