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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 8E
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