`("lim")_(xvecoo)[(e/(1-e))(1/e-x/(1+x))]^xi s` `e^((1-e))` (b) `e^(((1-e)/e))` (c) `e^((e/(1-e)))` (d) `e^(((1+e)/e))`

int(1)/(1+e^(x))dx= (a) log(1+e^(x)) (b) log((1+e^(x))/(e^(x))) (c) log(1+e^(-x)) (d) -log(e^(-x)+1)

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

(lim_(x rarr oo)((1)/(e)-(x)/(1+x))^(x) is equal to (a)(e)/(1-e)(b)0(c)(e)/(e^(1-e))(d) does not exist

(d)/(dx){sin^(-1)(e^(x))} is equal to (a) e^(x)sin^(-1)(e^(x)) (b) (e^(x))/(sqrt(1-e^(2x))) (c) (e^(x))/(1-e^(x)) (d) e^(x)cos^(-1)x]]

The value of (lim)_(x rarr1)(2-x)^(tan((pi x)/(2))) is e^(-(2)/(pi)) (b) e^((1)/(pi))(c)e^((2)/(pi))(d)e^(-(1)/(pi))

lim_(x rarr e)(log x-1)/(x-e)=(1)/(e)

lim_(x rarr0)(e^(1/x)-e^(-1/x))/(e^(1/x)+e^(-1/x))

(e^(x))/(e^(x)(e^(x)-1))dx

lim_(x rarr oo)x(((x)/(x+1))^(x)-(1)/(e)) is equal to (A) (-1)/(2e) (B) (1)/(2e) (C) (1)/(e) (D) oo

The value of lim_(x->1)(2-x)^(tan((pix)/2)) is e^(-2/pi) (b) e^(1/pi) (c) e^(2/pi) (d) e^(-1/pi)