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CBSE Class 11-science Answered

Solve Q 34 in the photo 
question image
Asked by Vidushi412 | 19 Mar, 2019, 09:38: AM
answered-by-expert Expert Answer
begin mathsize 12px style f left parenthesis x right parenthesis space space equals space fraction numerator open parentheses x squared plus 1 close parentheses over denominator open parentheses x squared plus 4 close parentheses open parentheses x minus 2 close parentheses end fraction space equals space fraction numerator 1 over denominator open parentheses negative 8 close parentheses end fraction open parentheses x squared plus 1 close parentheses open parentheses 1 plus x squared over 4 close parentheses to the power of negative 1 end exponent open parentheses 1 minus x over 2 close parentheses to the power of negative 1 end exponent
f left parenthesis x right parenthesis space equals space fraction numerator 1 over denominator open parentheses negative 8 close parentheses end fraction space open parentheses x squared plus 1 close parentheses space open parentheses 1 minus fraction numerator begin display style x squared end style over denominator begin display style 4 end style end fraction plus x to the power of 4 over 16 plus space t e r m s space o f space x to the power of 6 space a n d space h i g h e r space p o w e r s close parentheses space open parentheses 1 plus x over 2 plus x squared over 4 plus x cubed over 8 plus x to the power of 4 over 16 plus x to the power of 5 over 32 plus t e r m s space o f space h i g h e r space p o w e r s space close parentheses
t o space g e t space t e r m s space o f space x to the power of 5 comma space w e space s h o u l d space g e t space t e r m s space o f space x cubed space a n d space x to the power of 5 space i n space t h e space p r o d u c t space o f space s e c o n d space a n d space t h i r d space b r a c k e t e d space t e r m space.
x cubed space t e r m space i n space t h e space p r o d u c t space o f space s e c o n d space a n d space t h i r d space b r a c k e t e d space t e r m space space colon space minus x cubed over 8 plus fraction numerator begin display style x cubed end style over denominator begin display style 8 end style end fraction space equals space 0
x to the power of 5 space t e r m space i n space t h e space p r o d u c t space o f space s e c o n d space a n d space t h i r d space b r a c k e t e d space t e r m space colon space space plus fraction numerator begin display style x to the power of 5 end style over denominator begin display style 32 end style end fraction space minus fraction numerator begin display style x to the power of 5 end style over denominator begin display style 32 end style end fraction space plus fraction numerator begin display style x to the power of 5 end style over denominator begin display style 32 end style end fraction space space equals space plus fraction numerator begin display style x to the power of 5 end style over denominator begin display style 32 end style end fraction

h e n c e space c o e f f i c i e n t space o f space x to the power of 5 space equals space open parentheses fraction numerator 1 over denominator negative 8 end fraction close parentheses open parentheses 1 over 32 close parentheses space equals space fraction numerator negative 1 over denominator 256 end fraction end style
Answered by Thiyagarajan K | 20 Mar, 2019, 09:37: AM

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