Concept of limit:

Suppose y = f(x) be a provided function shown in the neighbourhood of x = a, but not essentially at the point x = a. The limiting nature of the function in the neighbour of x = a is known as the limit of the function when x approaches a. Precisely we can write that as  .  

=l Could exactly define that when we come near the point x = a from the value which are just bigger than or just lower than x = a, f (x) could have a part to move nearer to the value 'l'. 

Right and left hand Limit

Right-hand limit seems tendency of function when we define x = a from the value which just bigger than 'a' and we might .

Working principle to calculate 

• Put x = a + h in f(x) to take 
• Obtain the limit as h -> 0

Left-hand limit seems tendency of function when we give x = a from the numbers which are just lower than 'a' and we may write.

Working principle to calculate 

• Put x = a - h in f(x) to take 
• Get the limit as h -> 0

For example: 

Therefore for the occurrence of the limit of f(x) at x=a, it is useful and compulsory that = , if these are finite or and   both could be either +∞ or -∞.

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