Which of the following is/are true? Select one or more: a. Given e = 0.03, a suitable value of o is 0.03 such that for all (x, y) with x²+y?

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Which of the following is/are true?<br>Select one or more:<br>a. Given e = 0.03, a suitable value of o is 0.03 such that for all (x, y) with<br>x²+y? < 8, we have<br>I+Y<br>|f(r, y) – f(0,0)| < e where f(r, y) =<br>H COS I<br>sin(x – y)<br>|z| + |y|<br>O b. f(1, y)<br>(x, y) 4 (0,0)<br>not continuous at (0, 0).<br>0.<br>(2, 4) = (0,0)<br>O c.<br>lim y -y?<br>(z,y) (0,0)<br>exists and equal to 0<br>r2 +y²<br>Od. None of the other options.<br>3x2y-y<br>12 +y?<br>(2, y) A (0,0)<br>e. f(r, y)<br>is not continuous at (0, 0).<br>(x, y) == (0,0)<br>

Extracted text: Which of the following is/are true? Select one or more: a. Given e = 0.03, a suitable value of o is 0.03 such that for all (x, y) with x²+y? < 8,="" we="" have="" i+y="" |f(r,="" y)="" –="" f(0,0)|="">< e="" where="" f(r,="" y)="H" cos="" i="" sin(x="" –="" y)="" |z|="" +="" |y|="" o="" b.="" f(1,="" y)="" (x,="" y)="" 4="" (0,0)="" not="" continuous="" at="" (0,="" 0).="" 0.="" (2,="" 4)="(0,0)" o="" c.="" lim="" y="" -y?="" (z,y)="" (0,0)="" exists="" and="" equal="" to="" 0="" r2="" +y²="" od.="" none="" of="" the="" other="" options.="" 3x2y-y="" 12="" +y?="" (2,="" y)="" a="" (0,0)="" e.="" f(r,="" y)="" is="" not="" continuous="" at="" (0,="" 0).="" (x,="" y)="=">

Jun 04, 2022

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Which of the following is/are true? Select one or more: a. Given e = 0.03, a suitable value of o is 0.03 such that for all (x, y) with x²+y?

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