Limits at Infinity
Limits at Infinity:
Calculus
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Book page:
http://course-notes.org/Calculus
Infinite Limits
Infinite Limits:
If the value of f(x) gets larger and larger without bound as x approaches a, then :
Limits Of Polynomials and Rational Functions
Limits Of Polynomials and Rational Functions:
If P(x) and Q(x) are polynomials, then:
limx®a P(x) = P(a)
Arithmetic Manipulation of Limits
Addition, Subtraction, Multiplication and Division of Limits:
Elementary Limits
Elementary Limits:
limx®a f(x) = f(x)
Limits
Limits
The concept of limits is essential to calculus. The limit is the basis for all calculus problems. A good understanding of limits will help explain many theories in calculus.
Integration Methods
Integration Methods
Integrals
In calculus, the integral of a function is an extension of the concept of a sum. The process of finding integrals is called integration.
The process is usually used to find a measure of totality such as area,
volume, mass, displacement, etc., when its distribution or rate of
change with respect to some other quantity (position, time, etc.) is
specified.
Approximate Integration
In numerical analysis, numerical integration
constitutes a broad family of algorithms for calculating the numerical
value of a definite integral, and by extension, the term is also
sometimes used to describe the numerical solution of differential
equations. This article focuses on calculation of definite integrals.
Integration
In calculus, the integral of a function is an extension of the concept of a sum. The process of finding integrals is called integration.
The process is usually used to find a measure of totality such as area,
volume, mass, displacement, etc., when its distribution or rate of
change with respect to some other quantity (position, time, etc.) is
specified.
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