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

Question

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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

Image Transcription

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

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