 When it can be shown that the value of a variable, measured at a series of definite intervals, can by indefinite continuation of the series be...  The Analyst - Page 491882Full view - About this book
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...values, it is called a Variable. 197. DBF. When it can be shown that the value of a variable, measured at a series of definite intervals, can by indefinite...variable is said to approach indefinitely to its limit. If the variable be increasing, its limit is called a superior limit ; if decreasing, an inferior limit.... | |
 | George Albert Wentworth - Geometry - 1877 - 436 pages
...constant by less than any assigned quantity, however small, but cannot be made absolutely equal to the constant, that constant is called the Limit of...variable is said to approach indefinitely to its limit. If the variable be increasing, its limit is called a superior limit ; if decreasing, an inferior limit.... | |
 | Mathematics - 1881 - 608 pages
...unexpressed hypotheses. Let us first consider some definitions of the term limit. . I take the following two. WOOD. "The limit of a variable is a quantity which...word "exceeding" in this def. should be replaced by equalling, because the values of the variable may be alter'ly greater and less than the limit. Otherwise... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...constant by less than any assigned quantity, however small, but cannot be made absolutely equal to the constant, that constant is called the Limit of...variable is said to approach indefinitely to its limit. If the variable be increasing, its limit is called a superior limit ; if decreasing, an inferior limit.... | |
 | George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...values, it is called a Variable. 197. DBF. When it can be shown that the value of a variable, measured at a series of definite intervals, can by indefinite...variable is said to approach indefinitely to its limit. If the variable be increasing, its limit is^ called limit ; if decreasing, an inferior limit. 198.... | |
 | George Albert Wentworth - 1883 - 536 pages
...constant by less than any assigned quantity however small, but cannot be made absolutely equal to it, the constant is called the Limit of the variable ; and...variable is said to approach indefinitely to its limit. 469. In order, then, for a fixed value to be the limit of a variable value, it is necessary and sufficient... | |
 | George Albert Wentworth - 1898 - 436 pages
...than any assigned quantity, however small, but cannot be made absolutely equal to the constant, the constant is called the limit of the variable, and...variable is said to approach indefinitely to its limit. Consider the repetend 0.333 , which may be written tïï ~t~ TUT ~t~ ТТЛПГ т" The value of each... | |
 | G. A. Wentworth - 1898 - 422 pages
...than any assigned quantity, however small, but cannot be made absolutely equal to the constant, the constant is called the limit of the variable, and...variable is said to approach indefinitely to its limit. Consider the repetend 0.333 , which may be written Л "t" TÜÜ + TÜ3ÜÜ + The value of each fraction... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...given constant by less than any assigned value, however small, but cannot be made absolutely equal to the constant, that constant is called the limit of...the variable, and the variable is said to approach the constant as its limit. 275. TEST FOR A LIMIT. In order to prove that a variable approaches a constant... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...given constant by less than any assigned value, however small, but cannot be made absolutely equal to the constant, that constant is called the limit of...the variable, and the variable is said to approach the constant as its limit. 272. Suppose a point to move from A toward B, under the conditions that... | |
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