 | George Albert Wentworth - 1883 - 536 sider
...from a given 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 the variable is said to approach indefinitely to its limit. 469. In order, then, for a fixed... | |
 | George Bruce Halsted - 1885 - 389 sider
...variable which changes its value according to some law can be made to approach some fixed value as nearly as we please, but can never become equal to...the constant is called the Limit of the variable. EXAMPLE 4. The limit of the fraction — , as x increases indefinitely, oc is zero ; for, by taking... | |
 | George Bruce Halsted - 1886 - 394 sider
...variable which changes its value according to some law can be made to approach some fixed value as nearly as we please, but can never become equal to...the constant is called the Limit of the variable. EXAMPLE 4. The limit of the fraction -, as x increases indefinitely, is zero ; for, by taking x sufficiently... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 331 sider
...difference between the variable and the constant as small as we please, but cannot make it absolutely zero, the constant is called the limit of the variable under the circumstances specified. 40, For example, consider the fraction -. where n is supn posed to be an independent variable,—ie,... | |
 | William Chauvenet - 1887 - 342 sider
...difference between the variable and the constant as small as we please, but cannot make it absolutely zero, the constant is called the limit of the variable under the circumstances specified. 40. For example, consider the fraction — , where n is supposed to be an independent variable,... | |
 | William Elwood Byerly - 1888 - 284 sider
...which changes its value according to some law can be made to approach some fixed, constant value as nearly as we please, but can never become equal to...; the limit of -, as n increases indefinitely, is ' f(j zero; for by making n sufficiently great we can evidently decrease — at pleasure, but we can... | |
 | William Elwood Byerly - 1891 - 312 sider
...which changes its value according to some law can be made to approach some fixed, constant value as nearly as we please, but can never become equal to...The sum of n terms of the geometrical progression 1, £, J, £, &c., is a variable that changes as n changes, and if n is increased at pleasure, the sum... | |
 | William Chauvenet - 1893 - 340 sider
...difference between the variable and the constant as small as we please, but cannot make it absolutely zero, the constant is called the limit of the variable under the circumstances specified. 40. For example, consider the fraction -, where n is supR posed to be an independent variable,—ie,... | |
 | William Elwood Byerly - 1895 - 298 sider
...which changes its value according to some law can be made to approach some fixed, constant value as nearly as we please, but can never become equal to...The sum of n terms of the geometrical progression 1, £, J, £, &c., is a variable that changes as n changes, and if n is increased at pleasure, the sum... | |
 | Charles Austin Hobbs - 1899 - 266 sider
...in the same discussion, according to the conditions imposed upon it, is called a variable. actually equal to it, the constant is called the limit of the variable, and the variable is said to approach its limit. The difference between a variable and its limit is... | |
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Ax representing a single quantity. It is to be noted that as an increment is a difference, it may be either positive or negative. 5. If a variable which changes its value according to some law can be made to approach some fixed, constant value as nearly... 
