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Daily Practice Problems
Class 11 Maths
Limits and Derivatives
daily practice problem

Question 1:

Evaluate the limit: limx->-2

         

Question 2:

Find the limits: limx->2

 

Question 3:

Find the positive integer n so that limx->3  = 108.

 

Question 4:

Find the derivative of √(sin 2x).

 

Question 5:

Evaluate: limx->0

 

Question 6:

Evaluate: limx->0

                                       

Question 7:

Find the derivative of f(x) = x3 using the first principle.

 

Question 8:

Differentiate x * sin x with respect to x.

 

Question 9:

Find f’(x) at x = 100 if f(x) = 99x + 100

 

Question 10:

Find derivative of 1 + x + x2 + x3 + ……….+ x50 at x = 1

 

Question 11:

Find limx-> 0 f(x) and limx-> 1 f(x) where f(x) = 

 

Question 12:

Find the derivative of cos x from first principle.

 

Question 13:

Find the derivative of  from first principle.

 

Question 14:

If y =  , prove that 2x *  + y = 2√x.

 

Question 15:

Prove that the value of the expression limx->0  is 1.

 

Question 16:

If the function f(x) satisfies limx ->1  = π, evaluate lim x ->1 f(x).

 

Question 17:

Evaluate:       

 

Question 18:

The derivative of the function f(x) = 3x³ – 2x2 + 5x – 1 at x = -1 is _____.

 

Question 19:

For what integers m and n does limx->0 f(x) and limx->1 f(x) exists?

 

Question 20:

The value of limx->0  is ____.

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Problem-solving on Class 11 Maths Limits and Derivatives NCERT Chapter 12 after learning a theoretical concept is crucial for several reasons:

  1. Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic Class 11 Maths Limits and Derivatives you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
  2. Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in Class 11 Maths Limits and Derivatives NCERT Chapter 12, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
  3. Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
  4. Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Limits and Derivatives Class 11 Maths in practical scenarios helps you remember them better than passive reading or memorization.
  5. Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Limits and Derivatives Class 11 Maths Notes on LearnoHub.com
  6. Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Limits and Derivatives. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
  7. Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Limits and Derivatives Class 11 Maths Online Tests at LearnoHub.com.
  8. Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
  9. Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
  10. Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Limits and Derivatives Class 11 Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on Class 11 Maths Limits and Derivatives NCERT Chapter 12

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on Class 11 Maths Limits and Derivatives NCERT Chapter 12 useful.

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  • Limits and Derivatives Class 11 Maths NCERT Solutions
  • Class 11 Maths Limits and Derivatives Revision notes
  • Limits and Derivatives Class 11 Maths DPPs, Download PDF of solutions
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  • Class 11 Maths Sample papers