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CSolution :

`lim_( x to 0) (2^(x)-1)/(x) +lim_( x to 0) (3^(x)-1)/(x)- lim_( x to 0) (6^(x)-1)/(x) = log 2 +log 3 -log 6 = log ((6)/(6)) = log 1 = 0` **Define limit what it represents**

**condition of existence of limit evaluation of right hand left hand limit**

**Relation between the value of a function at a point and the limit at a point**

**Limits : Few Examples**

**The algebra of limits**

**Introduction of all indeterminate forms**

**(i) Direct substitution**

**(ii) Factorisation method (0/0 form)**

**Limits:Example of factorisation method**

**(iii) Rationalisation method (0/0 or ∞/∞ form) :**