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.