document.write( "Question 1209178: The function f(x)= sqrt(sin(x)(sin(x) -2)+1) is continuous at x = pi/2. ( true or $\"highlight%28cross%28fals%29%29\"$ false) ?
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Algebra.Com's Answer #847770 by ikleyn(52830) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Consider function  \r\n" );
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document.write( "    sin(x)*(sin(x)-2)+1) = sin^2(x) - 2sin(x) + sin(x) = sin^2(x) - sin(x) = sin(x)*(sin(x) -1).\r\n" );
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document.write( "In vicinity of  x=   this function is negative (except of its value at x= , where it is zero).\r\n" );
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document.write( "Therefore, in vicinity of  x =   the given expression, which is the square root of sin(x)*(sin(x)-2)+1),\r\n" );
document.write( "is not defined, at all, as a real function, so the question  \"is it continuous or not\"\r\n" );
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document.write( "even can not be posed: this function does not exist in real domain.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a mathematical joke problem (a kind of TRAP) to check your alertness.\r
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