3. Define f : R R to be if x > 0 f(z) = if z

3. Define f : R R to be<br>if x > 0<br>f(z) =<br>if z < 0.<br>(1) Show by definition thatf is continuous at every a 70.<br>(2) Compute by defintion lim f(x) and lim f(x).<br>I 0-<br>(3) Show that f is discontinuous at a 0.<br>Hint: you may need to follow the proof of continuity of constant functions<br>

Extracted text: 3. Define f : R R to be if x > 0 f(z) = if z < 0.="" (1)="" show="" by="" definition="" thatf="" is="" continuous="" at="" every="" a="" 70.="" (2)="" compute="" by="" defintion="" lim="" f(x)="" and="" lim="" f(x).="" i="" 0-="" (3)="" show="" that="" f="" is="" discontinuous="" at="" a="" 0.="" hint:="" you="" may="" need="" to="" follow="" the="" proof="" of="" continuity="" of="" constant="">

Jun 05, 2022

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3. Define f : R R to be if x > 0 f(z) = if z

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