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Asked by adjacentcalliber10 | 09 May, 2019, 23:54: PM
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I f space x less or equal than 1 f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell x squared plus p x plus 1 comma space x element of Q space end cell row cell p x squared plus 2 x plus r comma space x not an element of Q end cell end table close S i m i l a r l y comma space i f space x greater or equal than 1 f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell x squared plus p x plus 1 comma space x element of Q space end cell row cell p x squared plus 2 x plus r comma space x not an element of Q end cell end table close A l s o comma space i f space x less or equal than 2 f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell x squared plus p x plus 1 comma space x element of Q space end cell row cell p x squared plus 2 x plus r comma space x not an element of Q end cell end table close S i m i l a r l y comma space i f space x greater or equal than 2 f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell x squared plus p x plus 1 comma space x element of Q space end cell row cell p x squared plus 2 x plus r comma space x not an element of Q end cell end table close rightwards double arrow limit as x rightwards arrow 1 of x squared plus p x plus 1 equals limit as x rightwards arrow 1 of p x squared plus 2 x plus r rightwards double arrow 1 plus p plus 1 equals p plus 2 plus r rightwards double arrow r equals 0 A n d rightwards double arrow limit as x rightwards arrow 2 of x squared plus p x plus 1 equals limit as x rightwards arrow 2 of p x squared plus 2 x plus r rightwards double arrow 4 plus 2 p plus 1 equals 4 p plus 4 plus r rightwards double arrow 2 p plus 5 equals 4 p plus 4 rightwards double arrow p equals 1 divided by 2
Answered by Renu Varma | 10 May, 2019, 10:27: AM

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