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" 1."(1)/(x-x^(3))...

" 1."(1)/(x-x^(3))

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int_(1//3)^(1)(x-x^(3))^(1//3)/(x^(4))dx=

lim_(x rarr1)((1)/(1-x)-(3)/(1-x^(3))) is equal to

lim_(x rarr1)((1)/(1-x)-(3)/(1-x^(3)))

lim_(xto1)(1/(1-x)-3/(1-x^3)) is equal

int_(1//3)^(1) ((x-x^(3))^(1//3))/(x^(4))dx=

The value of the integral int_(1//3)^(1)((x-x^(3))^(1//3))/(x^(4))dx is

(b) If (x^(2)+1)/(x)=3(1)/(3) and x>1 ; find x^(3)-(1)/(x^(3))

Sum to infnite terms if |x|<1:1/((1-x)(1-x^3))+x^2/((1-x^3)(1-x^5))+x^4/((1-x^5)(1-x^7))+... .