Limits and Derivatives

5. $\underset{x\to -1}{lim}\frac{x^{10}+x^5+1}{x-1}=\frac{{(-1)}^{10}+{(-1)}^5+1}{(-1)-1}=\frac{1-1+1}{-2}=-\frac{1}{2}$

4. $\underset{x\to 4}{lim}\frac{4x+3}{x-2}=\frac{4*4+3}{4-2}=\frac{16+3}{2}=\frac{19}{2}$

3. $\underset{r\to 1}{lim}\pi r^2=\pi ·{(1)}^2=\pi$

2. $\underset{x\to \pi }{lim}\left(x-\frac{22}{7}\right)=\pi -\frac{22}{7}$

Exercise 13.1

1. 1. $\underset{x\to 3}{lim}$x + 3 = 3 + 3 = 6.

Students can download the free Class 11 Limits and Derivatives NCERT Solutions PDF from our website Shiksha, which offers chapter-wise and exercise-wise solutions. These PDFs are available for free and students can access  and download it to use it offline. Studernts can access the PDF directly on the Limits and Derivatives NCERT Solutions page provided by Shiksha as a part of class 11 chapter-wise matgh solutions.

Yes,  NCERT Solutions for Limits and Derivatives are a good resource and sufficeint to build a strong foundation. Students are aware all of the class 11 maths exams will be taken based on Class 11 CBSE Exams. Our Class 11 Math Limits and Derivatives Solutions are aligned with the latest CBSE 2025 syllabus. Student can rely on these solutions ans use them to practice, revise, and make notes.

The NCERT Solutions for Class 11 Limits and Derivatives provided by shiksha, cover all important concepts, including the definition of a limit, techniques to evaluate limits, left-hand and right-hand limits, and derivatives.  Our NCERT Solutions provide step-by-step explanations to questions . Our Solutions also include basic derivative formulas, rules, and their application to simple algebraic and trigonometric functions in solutions to make students aware of their usage.