The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages. |
Home Limits, Analytic Geometry, and Approximations Infinite Limits Infinite Limits | |||
Search the VIAS Library | Index | |||
Infinite Limits
Up to this point we have studied three types of limits: f(x) = L means f(x) ≈ L whenever x ≈ c but x ≠ c. f(x) = L means f(x) ≈ L whenever x ≈ c but x > c. f(x) = L means f(x) ≈ L whenever x ≈ c but x < c. The limit notation limx→∞f(x) = L means that whenever H is positive infinite, f(H) ≈ L (Figure 5.1.1(a)). limx→cf(x) = -∞ means that whenever x ≈ c and x ≠ c, f(x) is negative infinite (Figure 5.1.1(b)). The various other combinations have the meanings which one would expect. Figure 5.1.1
|
|||
Home Limits, Analytic Geometry, and Approximations Infinite Limits Infinite Limits |