# Consider the function given below.1x2COsf(x)x-2=0.x22Complete parts (a) through (c)-1-(a) Does limf(x) exist? If so, what is it? If not, why not?J.x 2O A. Yes, lim f(x)(Simplify your answer.)x+2O B. No, because there is no real number to which the function's values stay increasingly close as x approaches 2 from the left side.(b) Does limx 2+f(x) exist? If so, what is it? If not, why not?O A. Yes, lim f(x). (Simplify your answer.)-x 2O B. No, because there is no real number to which the function's values stay increasingly close as x approaches 2 from the right side.(c) Does lim f(x) exist? If so., what is it? If not, why not?

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Step 1

Consider the given expression:

Step 2

The limit of the function at a point x=a exists if

Step 3

Check the continuity of the function at a point x=2 then calcula...

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