The values of x for which `1/(1+sqrt(x)), 1/(1-x), 1/(1-sqrt(x)` are in A.P. lie in the interval (A) `(0,oo)` (B) `(1,oo)` (C) `(0,1)` (D) none of these

If a!=0 and log_(x)(a^(2)+1)<0 then x lies in the interval (A)(0,oo)(B)(0,1)(C)(0,a)(D) none of these

Range of f(x) =sin^20x+cos^48x is (A) [0,1] (B) (0,1] (C) (0,oo) (D) none of these

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

If log_(0.3)(x-1)

The value of lim_(x to oo)((1+3x)/(2+3x))^((1-sqrt(x))/(1-x)) is

The range of f(x)=sin^(-1)x+sqrt(x) is (i) R(ii)(0,oo)(iii)(0,1) (iv) none of these

The value of lim_(x rarr oo)(sqrt(x^(2)+x+1)-sqrt(x^(2)-x+1) equal to

The value of lim_(x to oo) (sqrt(x^2+1)-sqrt(x^2-1)) is

The value of lim_(x rarr oo)(sqrt(x^(2)+x+1)-sqrt(x^(2)-x+1)) equals

The domain of definition of the function f(x)=ln{x}+sqrt(x-2{x}) is: (where { } denotes fractional part function) (A) (1,oo) (B) (0,oo) (C) (1,oo)~I^(+) (D) None of these