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Download previous year solved papers Mathematics

Limits
One-sided limits
Some Standard limits
Some Important Expansions
Some Theorems on Limits
Continuity
Differentiability
Differentiability on Interval
The Intermediate value property of Derivatives
Differentiation from first principle
Differentiation of some elementary functions
Some Differentiation Formula

A function *f *is said to be tend to a limit *l *at a point *a *of its domain, if when the independent variable *x *moves closure and closure to *a, *the dependent variable *f*(*x*) move closure to *l*.

In general, number *l *is said to be the limit of *f*(*x*) at *x *= *a *if for any arbitrarily chosen positive number ε however small but not zero, there exists a corresponding number δ greater than zero such that

|f(x) − l| < ε

for all values of x for which 0 < |x − a| < δ

means the absolute value of x − a without any regard to sign.

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