Let f(x)=x+(1-x)x^3+(1-x)(1-x^2)x^3+.......

Let `f(x)=x+(1-x)x^3+(1-x)(1-x^2)x^3+.........+(1-x)(1-x^2)........(1-x^(n-1))x^n;(n >= 4)` then :

Let f(x)=x+(1-x)x^3+(1-x)(1-x^2)x^3+.........+(1-x)(1-x^2)........(1-x...
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Let f(x)=x+(1-x)x^(3)+(1-x)(1-x^(2))x^(3)+.........+(1-x)(1-x^(2)).......
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Let f(x)=x+(1-x)x^(2)+(1-x)(1-x^(2))x^(3)+............+(1-x)(1-x^(2))....
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f(x)=(x^(n)-1)/(x-1),x!=1 and f(x)=n^(2),x=1 continuous at x=1 then th...
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Let f(x)=(1-x^(n+1))/(1-x) and g(x)=1-(2)/(x)+(3)/(x^(2))-...+(-1)^(n)...
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lim (x rarr oo) ((1 ^ ((1) / (x)) + 2 ^ ((1) / (x)) + 3 ^ ((1) / (x)) ...
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Show that 1/(x+1)+2/(x^2+1)+4/(x^4+1)+…..+2^n/(x^(2n)+1)=1 /(x-1)- 2^(...
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Let f(x)=|{:(,1//x,logx,x^(n)),(,1,-1//n,(-1)^(n)),(,1,a,a^(2)):}| whe...
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Let S(n)(x)=(x^(n-1)+(1)/(x^(n-1)))+2(x^(n-2)+(1)/(x^(n-2)))+"....."+(...
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