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Mathematics · JEE | LIMITS AND DERIVATIVES

हिन्दी

Determine the limit \( \lim_{x \to 1} x^3 \).

  1. A
    0
  2. B
    3
  3. C
    1
  4. D
    9
View Answer & Solution

Correct answer · Option C

1

Explanation

Evaluating polynomial directly: \( \lim_{x \to 1} x^3 = 1^3 = 1 \).

Related questions

Evaluate \( \lim_{x \to 0} \frac{1 - \cos x}{x^2} \).→Match List-I with List-II: List-I List-II A \( \lim_{x \to 0} x^2 \) I \( 1 \) B \( \lim_{x \to 1} x^3 \) II \( 0 \) C \( \lim_{x \to a} 3 \) (constant) III \( 3 \) D \( \lim_{x \to 0^+} \frac{1}{x^2} \) IV \( +\infty \) Choose the correct answer from the options given below:→Find the derivative of \( f(x) = \frac{x^n - a^n}{x-a} \) for a constant \( a \) and integer \( n \), where \( x \neq a \).→Given below two statements: Statement I: If a function \( f(x) \) has a derivative at a point \( x = a \), then \( f(x) \) must be continuous at \( x = a \). Statement II: Continuity at a point implies that the function is always differentiable at that point. In the light of the above statements, choose the most appropriate answer from the options given below:→
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