The value of `lim_(m->oo)(cos(x/m))^("m")` is 1 (b) e (c) `e^(-1)` (d) none of these

lim_(m to oo)("cos"(x)/(m))^(m) is equal to

f(x)=(1n(x^2+e^x))/(1n(x^4+e^(2x)))dotT h e n lim_(x->oo)f(x) is equal to (a) 1 (b) 1/2 (c) 2 (d) none of these

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)

lim_(x rarr oo)(x(log x)^(3))/(1+x+x^(2)) equal 0(b)-1(c)1(d) none of these

The maximum value of x^((1)/(z)),x>0 is (a) e^((1)/(e))(b)((1)/(e))^(e)(c)1(d) none of these

int_0^oo (xlogx)/(1+x^2)^2dx= (A) e (B) 1 (C) 0 (D) none of these

The minimum value of (x)/((log)_(e)x) is e(b)1/e(c)1(d) none of these

lim_(x rarr0)((1+tan x)/(1+sin x))^(csc x) is equal to e (b) (1)/(e)(c)1 (d) none of these