document.write( "Question 1158629: Suppose f(x) is defined as shown below
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document.write( " f(x) ={e^x if x ≥ 0
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document.write( " {x + 1 if x < 0
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document.write( "Determine whether or not that f is continuous at 0. \n" );
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Algebra.Com's Answer #781575 by Shin123(626)![]() ![]() You can put this solution on YOUR website! When x is 0, f(x) is 1. If x is very slightly below 0, f(x) is very close to 1. As x gets closer and closer to 0, but never reaches 0, f(x) gets closer and closer to 1, but never reaches 1. f(x) is continuous at 0. Here is a graph, |