(1)/(x)log(1+x)

Evaluate the following limit : lim_(x rarr 0)(sqrt(1+x)-1)/(log(1+ x)) .

int(1)/(x(log x-1)(log x+1))backslash dx

If x^(y)=e^(x-y), then (dy)/(dx) is (1+x)/(1+log x)(b)(1-log x)/(1+log x)(c) not defined (d) (log x)/((1+log x)^(2))

(1)/(log_(2)x)+(1)/(log_(3)x)+......(1)/(log_(43)x)=(1)/(log_(43)!x)

IF f(x)=1/(x+1)-log(1+x),xgt0 , then f is

IF f(x)=1/(x+1)-log(1+x),xgt0 , then f is

If n in N, prove that 1/(log_2x)+1/(log_3x)+1/(log_4x)++(1)/(log_n x)=1/(log_(n !)x)

the value of log x+log(1+(1)/(1+x))+log(1+(1)/(2+x))+............+log(1+(1)/(n-1+x))

Prove that: lim_(x to 0)(sqrt(1+x)-1)/(log(1+x))=(1)/(2)

Evaluate the following limits : lim_(x to 0)(sqrt(1+x)-1)/(log(1+x)) .