PYQs Based Test - 03 : Limits, Continuity and Differentiability

Topics Covered

Sample Questions from this Test

1. The values of x for which the function
   
   $f\left(x\right)=\frac{x^2-3x-4}{x^2+3x-4}$
   
   is NOT continuous are
   View solution & explanation →
2. $\underset{x\to \infty }{\lim }\sqrt{x^2+x-1}-xis$
3. Given the following statements about a function f: R → R, select the right option:
   
   P: If f(x) is continuous at x = x₀, then it is also differentiable at x = x0.
   
   Q: If f(x) is continuous at x = x0, then it may not be differentiable at x = x0.
   
   R: If f(x) is differentiable at x = x0, then it is also continuous at x = x0.
   View solution & explanation →

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Test Instructions

• The test contains 10 questions and a total of 16 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Negative marking: 0.25 mark(s) deducted per wrong answer.
• Use the question palette to mark questions for review and navigate freely.
• Detailed solutions and analytics are available immediately after submission.
• This is a free practice test. No login required to attempt.