4:04 1 2. (1) The parts in this question are not related to each other. (a) 4. ) Using the e-8 definition of limit, prove that lim I-3 3r- 1 (b)4 ) Let f: R R be a function with the following...


4:04 1<br>2.<br>(1) The parts in this question are not related to each other.<br>(a)<br>4.<br>) Using the e-8 definition of limit, prove that lim<br>I-3 3r- 1<br>(b)4<br>) Let f: R R be a function with the following property:<br>|f(a) – f(b)| < 4|a - b| for all a, b ER.<br>Prove that f is continuous everywhere.<br>(c)<br>Show that the function g(r) = x-7x2 + 25r+8 has exactly one real root.<br>(2)<br>Compute<br>Pe dr. Show your work.<br>(3)<br>Find all p eR so that<br>

Extracted text: 4:04 1 2. (1) The parts in this question are not related to each other. (a) 4. ) Using the e-8 definition of limit, prove that lim I-3 3r- 1 (b)4 ) Let f: R R be a function with the following property: |f(a) – f(b)| < 4|a="" -="" b|="" for="" all="" a,="" b="" er.="" prove="" that="" f="" is="" continuous="" everywhere.="" (c)="" show="" that="" the="" function="" g(r)="x-7x2" +="" 25r+8="" has="" exactly="" one="" real="" root.="" (2)="" compute="" pe="" dr.="" show="" your="" work.="" (3)="" find="" all="" p="" er="" so="">

Jun 03, 2022
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