((1)/(x^((1)/(2))+x^((1)/(3)))quad " [Hint: "(1)/(x^((1)/(2))+x^((1)/(3)))=(1)/(x^((1)/(3)))]^(1)+x^((1)/(4))]_(0)^((pi)/(4))

lim_(x rarr a){[(a^((1)/(2))+x^((1)/(2)))/(a^((1)/(4))-x^((1)/(4))))^(-1)-(2(ax)^((1)/(4)))/(x^((3)/(4))-a^((1)/(4))x^((1)/(2))+a^((1)/(2))x^((1)/(4))-a^((3)/(4)))]^(-1)-sqrt(2)^(log_(4)a)}^(8)

sqrt(2^(x)(4^(x)(0.125)^((1)/(x)))^((1)/(3)))=4.(2^((1)/(3)))

e^(x-1-(1)/(2)(x-1)^(2)+(1)/(3)(x-1)^(3)-(1)/(4)(x-1)^(4))+... =

If x+(1)/(x)=3, calcuate x^(2)+(1)/(x^(2)),x^(3)+(1)/(x^(3)) and x^(4)+(1)/(x^(4))

Let 0

If x^(4)+(1)/(x^(4))=194, find x^(3)+(1)/(x^(3)),x^(2)+(1)/(x^(2)) and x+(1)/(x)

If x^(4)+(1)/(x^(4))=194, find x^(3)+(1)/(x^(3)),x^(2)+(1)/(x^(2)) and x+(1)/(x)