Limits and Derivatives · JEE Preparation Mathematics
Evaluate the limit: lim{xto 2}frac{x^2-4}{x-2}.
Practice question from Limits and Derivatives (JEE Preparation Mathematics), with the correct answer and a step-by-step solution.
easy · MCQ · Q-C03C13
Evaluate the limit: .
- A.2
- B.4Correct answer
- C.6
- D.Does not exist
Solution
Factor the numerator: . Therefore, the limit is .
More from Limits and Derivatives
- Evaluate lim{xto 0}frac{sqrt{1+2x}-sqrt{1-2x}}{x}.
- If y=(x^2+1)(x^3-2), find frac{dy}{dx} at x=1.
- Using the definition of derivative, find the derivative of f(x)=frac{1}{x} at x=2.
- Evaluate limₓ→0 (1 − cos 2x)/x².
Practise more Mathematics
Sign up free for adaptive practice on this chapter, with instant feedback and hints on every question.
Start practising freeFree to start · No credit card needed