14. 1/12 points | Previous Answers SCalcET7 2.2.019 My Notes Evaluate the functi

Question

14. 1/12 points | Previous Answers SCalcET7 2.2.019 My Notes Evaluate the function f(x) at the given numbers (correct to six decimal places) , x- 5.5, 5.1, 5.05, 5.01, 5.005, 5.001, 4.9, 4.95, 4.99, 4.995, 4.999 x2 -x - 20 5.5) (5.05) 5.01) 5.005) 5.001) (4.9) (4.95) (4.99) 4.995)- 4.999) Guess the value of the limit of f(x) as x approaches 5, correct to six decimal places. (If an answer does not exist, enter DNE.) Sx x-5 x2 - x - 20 ReadItatct Talk to a Tutor Submnt Answer Save Pr ogress Practice Another Version

Explanation / Answer

Given f(x) can be reduced by taking out the common root (x-5) out. which gives x/x+4 as the function.

f(5.5) = 5.5/9.5= 0.578947

f(5.1)= 0.560440

f(5.05)=0.558011

f(5.01) = 0.556049

f(5.005) = 0.555802

f(5.001)= 0.555605

f(4.9)= 0.550562

f(4.95) =0.553073

f(4.99)= 0.555061

f(4.995)= 0.555308

f(4.999)=0.555506

limit x to 5 value of the function will be = 0.555556

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