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RWKGDa is called a vertical asymptote of thecommarcurve y = f(x) if at 1least one of the following statements is true:lim f(x)6 Definition The vertical line x00lim f(x)lim f(x)XJa+De-rXJClim f(x)x atlim f(x)lim f(x)The following are examples of vertical asymptotes.Example 1Example 2Find lim2-9x+ 14X3hole at X-2lim tan xTC22Solution: X7CX21IimX3(X-3) C2)lim Cx-X-3X3Example 3Estimate the value of lim2-1x-1x-1 xSolution:U.X

Question

Please answer the examples and show your work. Thank you! 

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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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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check_circleAnswer
Step 1

1). Given,

 

x2-
lim
9x 14
- 5.x 6
x3
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x2- lim 9x 14 - 5.x 6 x3

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Step 2

On simplification, we get

 

lim (t-7)(r-2)
'(x-3)(x-2)
x29x14
lim
X-3
x2-5x 6
x3
x- 7
-lim
x -3
x+3
3-7
-4
3-3
0
Tlo
II
help_outline

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lim (t-7)(r-2) '(x-3)(x-2) x29x14 lim X-3 x2-5x 6 x3 x- 7 -lim x -3 x+3 3-7 -4 3-3 0 Tlo II

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Step 3

2). Given,

&nb...

lim tanx
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lim tanx

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Calculus

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