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Sigma_(r=1)^(oo) 3^(r-1)(sin.(theta)/(3^(r)))^(3)is equal to |
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Answer» `theta - sin theta` `A(x, tan^(-1)x)` `B(y,tan^(-1)y)` `m="Slope of" AB =((tan^(-1)y-tan^(-1)x)/(y-x))` 'm' is minimum as A, Bboth tend to POINT with x-coordinate `(SQRT(3))` `implies m gt (d)/(dx) (tan^(-1)x)|_(x=sqrt(3))` `implies m gt ((1)/(1+x^(2)))|implies MGT(1)/(4)` `(1)/(m)lt4implies "MAXIMUM integral value of"((1)/(m)) "is" 3`.
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