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 Skip Navigation LinksMath Help > Calculus

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The Limit, as x approaches c, of a function f(x), is said to be equal to L if the value of f(x) gets "closer and closer" to L as x gets "closer and closer" to c.  This page presents a mathematically rigorous explanation of this, and also introduces some special uses of limits.

The Derivative is a special limit -- the derivative of f(x) with respect to x (written d/dx f(x)) is
limh−>0 (f(x+h)-f(x))/h.  This page explains the significance of this special limit.

The Integral is another special limit, and you can also think of it as an "anti-derivative" plus a constant.  This page introduces these concepts.

Internet references

First Year Calculus
          by WIlliam Chen,
an excellent roundup of all a student needs to know in his first year of calculus, including the number system, number system, functions, limits, continuity, differentiation, exponential function, definite integral and its applications, integration techniques.

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The webmaster and author of this Math Help site is Graeme McRae.