document.write( "Question 1062254: What is the value of 1+cos^1x+cos^2x+cos^3x+cos^4x+..........to infinity? \n" ); document.write( "

Algebra.Com's Answer #677096 by ikleyn(52852) $\"\"$ $\"About$

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\n" ); document.write( "What is the value of 1+cos^1x+cos^2x+cos^3x+cos^4x+..........to infinity?
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document.write( "The sum of an infinite geometric progression  with the common ratio r, |r| < 1 is\r\n" );
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document.write( "S = .\r\n" );
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document.write( "Substitute here x = cos(x), and you obtain the sum of your infinite sequence\r\n" );
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document.write( "T = .\r\n" );
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document.write( "Answer. The sum = . Valid for |cos(x)| =/=1.\r\n" );
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