document.write( "Question 1009855: Is this infinite Series,convergent or divergent?\r
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Algebra.Com's Answer #625339 by ikleyn(52797) $\"\"$ $\"About$

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\n" ); document.write( "It is not converged.\r
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\n" ); document.write( "Comment from student: Hi you say (- 1)^r - 1 is divergent yet (- 1)^r - 1 x b can be proved convergent if b > 0
\n" ); document.write( "This can be easily seen if b = 1/n...now if b = 1 the above doesn't change yet you claim it is still convergent..can you explain why?
\n" ); document.write( "Best wishes,thx,Colin
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\n" ); document.write( "\n" ); document.write( "My response. \r
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document.write( "1) Yes, the series {  } with the constant b, |b| < 1, is converged. It is geormetric progression,  by the way.\r\n" );
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document.write( "2) Yes, the series  is not converged. It is diverged.\r\n" );
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document.write( "These two series are different. They are not the same. Do not miss them. \r\n" );
document.write( "Different series have different properties. \r\n" );
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document.write( "3) Read these two links\r\n" );
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document.write( "https://en.wikipedia.org/wiki/Convergent_series\r\n" );
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document.write( "and\r\n" );
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document.write( "http://tutorial.math.lamar.edu/Classes/CalcII/ConvergenceOfSeries.aspx\r\n" );
document.write( "(example 3).\r\n" );
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