The Limit is Calculated by Using the Main Part of the Function

Abstract:

If the function is the algebraic sum of finite infinitely small quantities, among which one is lower order infinitely small quantity of the others, the lowest order infinitely small quantity is the main part of the function. However, the limit of the quotient between two infinitely small quantities is equal to the limit of the quotient of their main parts. Similarly, if the function is the algebraic sum of finite infinitely large quantities, among which one is the higher order infinitely large quantity of the others, the highest order infinitely large quantity is called as the main part of the function. Moreover, the limit of the quotient between two infinitely large quantities is equal to the limit of the quotient of their main parts.

• Periodical: Applied Mechanics and Materials (Volumes 713-715)
• Pages: 1967-1969
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.713-715.1967
• Online since: January 2015
• Authors: Wen Xi Duan*
• Keywords: Infinitely Large Quantity, Infinitely Small Quantity, Limit, Main Part of the Function

References

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