(x+(1)/(x))^(x)+x^((1+(1)/(x)))

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)}

Find (dy)/(dx):y=(x+(1)/(x))^x+(x+(1)/(x))^(1/x)

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

Evaluate lim_(x rarr oo)[(x+1)^((x+2)/(x+1))-x^((x+1)/(x))]

if f(x)=(x)/((1+x))+(x)/((1+x)(1+2x))+(x)/((1+2x)(1+3x))+. . . infinite terms , Discuss continuity at x=0

What is (8x)/(1-x^(4)) - (4x)/(x^(2) +1) +(x+1)/(x-1) - (x-1)/(x+1) equal to?

If a function f(x) is given by f(x)=(x)/(1+x)+(x)/((x+1)(2x+1))+(x)/((2x+1)(3x+1))+...oo then at x=0,f(x)