Limits Basic Concepts theorem, rules, formulae, tricks, tips 2021 pdf

Limits Basic Concepts theorem, rules, formulae, tricks, tips 2021 pdf download

Limits Concepts:

Limit of a function at a point is the common value of the left and right hand limits, if they coincide

Limits Basics:

Limits history:

Theorem on Limits:

Let

​ Let x→alim​f(x)=l and x→alim​g(x)=m then ​

1. x→alim​[f(x)+g(x)]=x→alim​f(x) +x→alim​g(x) = l +m

2.x→alim​[f(x)−g(x)]=x→alim​f(x) −x→alim​g(x) =l−m


3. x→alim​f(x)⋅g(x)=x→alim​f(x) ⋅x→alim​g(x) =l⋅m

4. x→alim​[g(x)f(x)​] = limx→a​  g(x)limx→a​   f(x)​ =ml​



5. x→alim​k f(x)  = kx→a lim​ f(x)

Important Limits Formulae

  1. x→0lim​

​
x−axn−an​=n an−1 where n∈N

 2. x→0lim​xsinx​=1

 3. x→0lim​xtanx​=1

 4. x→0lim​
co​cosx =1