document.write( "Question 1192696: This is more of a calculus question. We are asked to determine epsilon for which the given limit is true.\r
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document.write( "lim = √x^2+4 = 2, where delta (𝛿) = 1
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document.write( "x-> 0 \n" );
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Algebra.Com's Answer #824601 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "This is more of a calculus question. We are asked to determine epsilon for which the given limit is true.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "lim = √x^2+4 = 2, where delta (𝛿) = 1 \n" ); document.write( "x-> 0 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hello, in Calculus, if we talk about the limits of functions,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the chain of events and the direction of thoughts is DIFFERENT: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " we first assign epsilon, and then try to find delta.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then the logic is straightforward, clear, understandable and coincides with the logic of the definition of a limit.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here you ask about opposite move: you consider delta as given and ask about epsilon.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Again: it is OPPOSITE to routine calculus consideration.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, I really do not understand the meaning of this exercise: Is it designed to confuse a reader / (a student) ?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |