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" iii) "((1)/(x))^(x)

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If y=(1+(1)/(x))^(x), then (dy)/(dx)=(1+(1)/(x))^(x){log(1+(1)/(x))-(1)/(x+1)}(b)(1+(1)/(x))^(x)log(1+(1)/(x))(c)(x+(1)/(x))^(x){log(x+1)-(x)/(x+1)}(d)(x+(1)/(x))^(x){log(1+(1)/(x))+(1)/(x+1)}

Let f(x)=x((1)/(x-1)+(1)/(x)+(1)/(x+1)),x>1

Let f(x)=x((1)/(x-1)+(1)/(x)+(1)/(x+1)), x gt 1 . Then

Find the continued product: (x-(1)/(x))(x+(1)/(x))(x^(2)+(1)/(x^(2)))(x^(4)+(1)/(x^(4)))

Find the products: (x-(1)/(x))(x+(1)/(x))(x^(2)+(1)/(x^(2)))(x^(4)+(1)/(x^(4)))

The expression (1)/(1+(x)/(1-(x)/(x+2)))-:((1)/(1-x)+(1)/(1+x))/((1)/(1-x)-(1)/(1+x))

(1) If f(x+(1)/(x))=x-(1)/(x) then f(x) is