What are the important topics covered in NCERT Solutions for Class 11 Maths Chapter 12?
Answer (1)
Important Topics in NCERT Solutions for Class 11 Maths Chapter 12 (Limits and Derivatives)
This chapter introduces limits and derivatives, forming the foundation of calculus.
1. Limits: Understanding approaching values, left-hand and right-hand limits, and standard limits like:
$\lim\limits_{x \rightarrow 0} \frac{\sin x}{x}=1$
$\lim\limits_{x \rightarrow 0}(1+x)^n=e^x$
2. Limit Evaluation Methods:
Direct substitution, factorization, rationalization.
3. Derivatives: First principle definition:
$f^{\prime}(x)=\lim\limits_{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}$
Power rule, sum, product, and quotient rules.
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