# if x < 1if x = 14g(x):2 - x2 if 1 < x< 2'if x > 2(a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.)lim g(x)(i)lim g(x)(ii)(iii)g(1)lim g(x)(iv)lim g(x)(v)lim g(x)(vi)

Question
1 views help_outlineImage Transcriptioncloseif x < 1 if x = 1 4 g(x): 2 - x2 if 1 < x< 2' if x > 2 (a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.) lim g(x) (i) lim g(x) (ii) (iii) g(1) lim g(x) (iv) lim g(x) (v) lim g(x) (vi) fullscreen
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Step 1

Given function is

Step 2

Evaluating, we get help_outlineImage Transcriptionclose(i) To find lim g(x) since for values less than 1, g(x) = x Hence, lim g(x) = lim(x) =1 lim g(x) =1 fullscreen
Step 3 help_outlineImage Transcriptionclose(ii) To find lim g (x) x→1* since for values greater than 1, 8(x) =2-x² Hence, lim g(x) = lim(2 -x²) x- = 2-1 lim g(x)=1 fullscreen

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