document.write( "Question 1195861: This is a calculus question. Could you explain question 18 on https://www.math.purdue.edu/php-scripts/courses/oldexams/serve_file.php?file=16600FE-F2016.pdf ? I know the answer is D but don't know how to get there. Please attach an image of your work as a reply. \n" ); document.write( "
Algebra.Com's Answer #828446 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "In your notes somewhere, you have shown that the Taylor series for ln(1-x) is\r\n" );
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document.write( "\"ln%281-x%29\"\"%22%22=%22%22\"\"-sum%28x%5En%2Fn%2Cn=1%2Cinfinity%29\"\r\n" );
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document.write( "Maybe your professor expected you to have memorized it, or to have access to it.\r\n" );
document.write( "Surely he or she didn't expect you to find the Taylor series for every one of\r\n" );
document.write( "the choices.  So I'll assume you have either memorized the above or have access\r\n" );
document.write( "to it.\r\n" );
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document.write( "Substitute x2 for x\r\n" );
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document.write( "\"ln%281-x%5E2%29\"\"%22%22=%22%22\"\"-sum%28+%28x%5E2%29%5En%2Fn%2Cn=1%2Cinfinity%29\"\r\n" );
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document.write( "\"ln%281-x%5E2%29\"\"%22%22=%22%22\"\"-sum%28x%5E%282n%29%2Fn%2Cn=1%2Cinfinity%29\"\r\n" );
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document.write( "Just multiply both sides by -1\r\n" );
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document.write( "\"-ln%281-x%5E2%29\"\"%22%22=%22%22\"\"sum%28x%5E%282n%29%2Fn%2Cn=1%2Cinfinity%29\"\r\n" );
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document.write( "So it's D.\r\n" );
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document.write( "Edwin 
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