Solution: Step 1: The function f(x) needs to be verified continuous at the open interval (-1, 1) by creating its table of values or simply knowing its restrictions with regard to its domain. A. Table...

NOTE: answer the step 2.Solution:<br>Step 1: The function f(x) needs to be verified continuous at the open interval (-1, 1) by<br>creating its table of values or simply knowing its restrictions with regard to its domain.<br>A. Table of values<br>X-values<br>y-values<br>F(x)= 3/x<br>_3_<br>-0.999<br>3.003003<br>-0.999<br>Does not exist<br>3<br>(Undefined)<br>0.9999<br>3<br>3.00030003<br>0.9999<br>B. Domain restriction of the function:<br>Domain of function f:<br>(-00,0) U (0,00)<br>Step 2: The function f(x) needs to be continuous at the left endpoint [-1].<br>a. Evaluate the function f(x) = - at x = -1<br>3<br>%3D<br>b. Find lim,(-)<br>x--1+<br>c. What did you observe between the values of f(-1) and lim f(x)?<br>x--1+<br>

Extracted text: Solution: Step 1: The function f(x) needs to be verified continuous at the open interval (-1, 1) by creating its table of values or simply knowing its restrictions with regard to its domain. A. Table of values X-values y-values F(x)= 3/x _3_ -0.999 3.003003 -0.999 Does not exist 3 (Undefined) 0.9999 3 3.00030003 0.9999 B. Domain restriction of the function: Domain of function f: (-00,0) U (0,00) Step 2: The function f(x) needs to be continuous at the left endpoint [-1]. a. Evaluate the function f(x) = - at x = -1 3 %3D b. Find lim,(-) x--1+ c. What did you observe between the values of f(-1) and lim f(x)? x--1+

Jun 05, 2022
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