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CBSE Class 11-science Answered

Solve Q37 in the photo 
question image
Asked by Vidushi412 | 19 Mar, 2019, 09:35: AM
answered-by-expert Expert Answer
begin mathsize 12px style f left parenthesis x right parenthesis space equals space fraction numerator open parentheses space 5 x space plus space 6 space close parentheses over denominator left parenthesis space 2 space plus space x space right parenthesis space open parentheses space 1 space minus space x space close parentheses end fraction space equals space fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction open parentheses space 5 x space plus space 6 space close parentheses space open parentheses 1 space plus space fraction numerator begin display style x end style over denominator begin display style 2 end style end fraction close parentheses to the power of negative 1 end exponent open parentheses space 1 space minus space x close parentheses to the power of negative 1 end exponent space equals space fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction open parentheses space 5 x space plus space 6 space close parentheses space space g left parenthesis x right parenthesis w h e r e space g left parenthesis x right parenthesis space equals space space open parentheses 1 space plus space fraction numerator begin display style x end style over denominator begin display style 2 end style end fraction close parentheses to the power of negative 1 end exponent open parentheses space 1 space minus space x close parentheses to the power of negative 1 end exponent space equals space space open square brackets 1 space minus x over 2 space plus space x squared over 4 space minus x cubed over 8 space plus......... close square brackets open square brackets 1 plus x plus x squared plus x cubed plus..... close square brackets g left parenthesis x right parenthesis space equals space open square brackets 1 space plus open parentheses 1 space minus space 1 half close parentheses x space plus space open parentheses 1 minus 1 half plus 1 fourth close parentheses x squared space plus open parentheses 1 minus 1 half plus 1 fourth minus 1 over 8 close parentheses x cubed plus space......... open parentheses 1 minus fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction plus fraction numerator begin display style 1 end style over denominator begin display style 4 end style end fraction minus fraction numerator begin display style 1 end style over denominator begin display style 8 end style end fraction plus 1 over 16.... plus 1 over 2 to the power of r close parentheses x to the power of r space plus..... close square brackets space c o e f f i c i e n t space o f space r to the power of t h end exponent space t e r m space space x to the power of r space space equals space open parentheses 1 minus fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction plus fraction numerator begin display style 1 end style over denominator begin display style 4 end style end fraction minus fraction numerator begin display style 1 end style over denominator begin display style 8 end style end fraction plus 1 over 16.... plus 1 over 2 to the power of r close parentheses space equals space fraction numerator 1 minus open parentheses negative begin display style 1 half end style close parentheses to the power of r plus 1 end exponent over denominator 1 minus open parentheses negative begin display style 1 half end style close parentheses end fraction space equals space 2 over 3 open parentheses 1 space plus fraction numerator begin display style open parentheses negative 1 close parentheses to the power of r end style over denominator 2 to the power of r plus 1 end exponent end fraction close parentheses c o e f f i c e n t space o f space x to the power of n space o f space f left parenthesis x right parenthesis space equals space 3 cross times c o e f f i c e i n t space o f space x to the power of n space o f space g left parenthesis x right parenthesis space plus space open parentheses 5 over 2 close parentheses cross times c o e f f i c i e n t space o f space x to the power of n minus 1 end exponent space o f space g left parenthesis x right parenthesis equals space 3 cross times fraction numerator begin display style 2 end style over denominator begin display style 3 end style end fraction open parentheses 1 space plus fraction numerator begin display style open parentheses negative 1 close parentheses to the power of n end style over denominator 2 to the power of n plus 1 end exponent end fraction close parentheses space plus 5 over 2 cross times fraction numerator begin display style 2 end style over denominator begin display style 3 end style end fraction open parentheses 1 space plus fraction numerator begin display style open parentheses negative 1 close parentheses to the power of n minus 1 end exponent end style over denominator 2 to the power of n end fraction close parentheses space space equals space 11 over 3 space minus open parentheses 2 over 3 close parentheses fraction numerator begin display style open parentheses negative 1 close parentheses to the power of n end style over denominator 2 to the power of n end fraction end style
Answered by Thiyagarajan K | 20 Mar, 2019, 03:59: PM

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