R W K G D a is called a vertical asymptote of the commar curve y = f(x) if at 1least one of the following statements is true: lim f(x) 6 Definition The vertical line x 00 lim f(x) lim f(x) XJa +De-r XJC lim f(x) x at lim f(x) lim f(x) The following are examples of vertical asymptotes. Example 1 Example 2 Find lim2-9x+ 14 X3 hole at X-2 lim tan x TC 22 Solution: X7CX21 Iim X3 (X-3) C2) lim Cx- X-3 X3 Example 3 Estimate the value of lim2-1 x-1 x-1 x Solution: U. X
R W K G D a is called a vertical asymptote of the commar curve y = f(x) if at 1least one of the following statements is true: lim f(x) 6 Definition The vertical line x 00 lim f(x) lim f(x) XJa +De-r XJC lim f(x) x at lim f(x) lim f(x) The following are examples of vertical asymptotes. Example 1 Example 2 Find lim2-9x+ 14 X3 hole at X-2 lim tan x TC 22 Solution: X7CX21 Iim X3 (X-3) C2) lim Cx- X-3 X3 Example 3 Estimate the value of lim2-1 x-1 x-1 x Solution: U. X
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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