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Asked by sarveshvibrantacademy | 05 May, 2019, 15:48: PM
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g left parenthesis f left parenthesis x right parenthesis right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell g left parenthesis sin space x right parenthesis comma space x not equal to n straight pi comma space straight n element of straight I end cell row cell g left parenthesis 2 right parenthesis comma space space space space space space o t h e r w i s e end cell end table close T h e r e space a r e space d i f f e r e n t space v a l u e s space f o r space g left parenthesis sin space x right parenthesis g left parenthesis sin space x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell sin squared x plus 1 comma space x not equal to 0 end cell row cell 6 comma space space space space space space space space space space space space x equals 2 end cell end table close g left parenthesis 2 right parenthesis equals 6 space sin c e space x equals 2 g left parenthesis sin space x right parenthesis equals sin squared x plus 1 space w h e n space x not equal to 0 space i. e space x greater than 0 space & space x less than 0 N o w comma space L H L equals limit as x rightwards arrow 0 to the power of minus of space g left parenthesis f left parenthesis x right parenthesis right parenthesis equals limit as x rightwards arrow 0 of space sin squared x plus 1 equals 1 R H L equals limit as x rightwards arrow 0 to the power of plus of space g left parenthesis f left parenthesis x right parenthesis right parenthesis equals limit as x rightwards arrow 0 of space sin squared x plus 1 equals 1 H e n c e comma space limit as x rightwards arrow 0 of space g left parenthesis f left parenthesis x right parenthesis right parenthesis equals 1
Answered by Renu Varma | 06 May, 2019, 11:11: AM

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