MP Board · Class 11 · Mathematics · Limits and DerivativesEvaluate $\lim{x \to 2} \frac{x^2 - 4}{x - 2}$.
Step-by-Step Solution
Factorizing the numerator: $\lim_{x \to 2} \frac{(x-2)(x+2)}{x-2} = \lim_{x \to 2} (x+2) = 2 + 2 = 4$.
Detailed Options Breakdown
Option : 0
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
Option 1: 2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
Option 2: 4 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: Does not exist
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
💡 Study Guide: This question tests core syllabus concepts from Limits and Derivatives. For formulas, key summaries, and mock exam reference guides, read the full Limits and Derivatives Revision Notes.