Use the table feature of a graphing calculator to predict the limit. Check your work by using either a graphical or an algebraic approach. (If you need to use  or –, enter INFINITY or –INFINITY, respectively.)lim x→8 f(x), where f(x) =  3 + x − x2    if x≤814 − 9x    if x > 8

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Asked Jun 16, 2019
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Use the table feature of a graphing calculator to predict the limit. Check your work by using either a graphical or an algebraic approach. (If you need to use  or –, enter INFINITY or –INFINITY, respectively.)

lim x→8 f(x),
 where 
f(x) = 
 
3 + x − x2     if x 8
14 − 9x     if x  >  8
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Expert Answer

Step 1

Step 1: Go to "Y=", then type in the function 3 + x − x2   

Step 2: Go to "TBL SET" (2nd+WINDOW), then set TblStart= 7.95 and ΔTbl=0.01.

You will end up getting the table as shown on the white board.

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Image Transcriptionclose

X y 7.95 (52.2525) 7.96 (52.4016) 7.97 (52.5509) 7.98 (52.7004) 7.99 (52.8501) 8 (53.0000)

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Step 2

Now repeat the steps for y = 14 − 9x for x > 8

Step 1: Go to "Y=", then type in the function 14 - 9x

Step 2: Go to "TBL SET" (2nd+WINDOW), then set TblStart= 8.01 and ΔTbl=0.01

The output will be as shown on the white board.

...
help_outline

Image Transcriptionclose

X y (53.1501) 8.01 (58.1800) 8.02 (58.2700) 8.03 (58.3600) 8.04 (58.4500) 8.05

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