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JEE Class main Answered

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Asked by sarveshvibrantacademy | 09 May, 2019, 10:40: PM
answered-by-expert Expert Answer
left parenthesis straight A right parenthesis
fraction numerator straight x squared minus 2 straight x minus 8 over denominator straight x plus 2 end fraction equals fraction numerator open parentheses straight x plus 2 close parentheses open parentheses straight x minus 4 close parentheses over denominator straight x plus 2 end fraction.... removable

left parenthesis straight C right parenthesis
fraction numerator straight x cubed plus 64 over denominator straight x plus 4 end fraction equals fraction numerator open parentheses straight x plus 4 close parentheses open parentheses straight x squared plus 4 straight x plus 16 close parentheses over denominator straight x plus 4 end fraction.... removable

open parentheses straight D close parentheses
fraction numerator 3 minus square root of straight x over denominator 9 minus straight x end fraction equals fraction numerator 3 minus square root of straight x over denominator open parentheses 3 minus square root of straight x close parentheses open parentheses 3 plus square root of straight x close parentheses end fraction.... removable

For space open parentheses straight B close parentheses
straight f left parenthesis straight x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell fraction numerator straight x minus 7 over denominator negative open parentheses straight x minus 7 close parentheses end fraction space space space semicolon straight x less than 7 end cell row cell
fraction numerator straight x minus 7 over denominator open parentheses straight x minus 7 close parentheses end fraction space space space semicolon straight x greater-than or slanted equal to 7 end cell end table close
here space the space discontinuity space is space not space removable
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