document.write( "Question 578370: Use the Maclaurin series of f(x) = e^x to verify that d/dx e^x = e^x.\r
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Algebra.Com's Answer #370628 by Tatiana_Stebko(1539) $\"\"$ $\"About$

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the Maclaurin series of f(x) = e^x
\n" ); document.write( " $\"e%5Ex=1%2Bx%2Bx%5E2%2F2%21%2Bx%5E3%2F3%21%2Bx%5E4%2F4%21\"$ +...
\n" ); document.write( "then d/dx $\"e%5Ex\"$ =d/dx ( $\"1%2Bx%2Bx%5E2%2F2%21%2Bx%5E3%2F3%21%2Bx%5E4%2F4%21\"$ +...)= $\"0%2B1%2B2x%2F2%21%2B3x%5E2%2F3%21%2B4x%5E3%2F3%21\"$ +...= $\"1%2Bx%2Bx%5E2%2F2%21%2Bx%5E3%2F3%21\"$ +...= $\"e%5Ex\"$
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