Class 11 Maths Limits Derivatives Limits

Limits

Calculus is that branch of mathematics which mainly deals with the study of change in the value of a function as the points in the domain change.

Limit is used when we have to find value of a function near to some value.

Eg: f(x) = (x2-9)/(x-3) . Find value of this function for x = near to 3.

Left hand limit: lim x→a– f(x) 

Right hand limit:lim x→a+ f(x) .

If right &left hand limits coincide, we call that common value as limit of f(x) at x = a & denote it by lim x→a f(x).

 

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