[(1)/(4)((1)/(sin^(2)x)-(1)/(sinh^(2)x))=],[" (2) "0]

(sinh(2x))/(1+cosh(2x))=

The value of lim_(xrarr0) {1^((1)/(sin^(2)x)+)2^((1)/(sin^(2)x))+3^((1)/(sin^(2)x))+.....+n^((1)/sin^(2)x)}^(sin^2x) , is

(2sin^(2)x -1) +1=0

underset(x to 0)(Lt) [(1)/(1^(sin^(2)x))+(1)/(2^(sin^(2))x)+....+(1)/(n^(sin^(2))x)]^(Sin^(2)x)

Evaluate: lim_(n rarr0)(1^(1/sin^(2)x)+2sin^((1)/(2sin^(2)x))+...+n^(1/sin^(2)x))^(sin^(2)x)

int (sinh x )/(1+ sinh^(2)x) dx=

lim_(x rarr0)(sin^(-1)x+3x)/(tan x+2sin((1)/(2)sin^(-1)x)[3-4sin^(2)((1)/(2)sin^(-1)x)])=

Lt_(x to 0)(sin^(-1)x+3x)/(tanx+2sin((1)/(2)sin^(-1)x)[3-4"sin"^(2)((1)/(2)sin^(-1)x)])=

lim_(x rarr0)(((1)/(1+sin^(2)x))/(2sec^(2)(ln^(2)(1+x))))*((sin(2x))/(ln(1+x)*((1)/(1+x))))