If `S={x in N :2+(log)_2sqrt(x+1)>1-(log)_(1/2)sqrt(4-x^2)}` , then (a)`S={1}` (b) `S=Z` (d) `S=N` (d) none of these

If S={x in N :2+(log)_2sqrt(x+1)>1-(log)_(1/2)sqrt(4-x^2)} , then (a)S={1} (b) S=Z (c) S=N (d) none of these

If S={x in N :2+(log)_2sqrt(x+1)>1-(log)_(1/2)sqrt(4-x^2)} , then S={1} (b) S=Z (d) S=N (d) none of these

If S={x in N:2+(log)_(2)sqrt(x+1)>1-(log)_((1)/(2))sqrt(4-x^(2))}, then (a)S={1}(b)S=Z(d)S=N(d) none of these

If S=(1/2)^2+((1/2)^2 1)/3+((1/2)^3 1)/4+((1/2)^4 1)/5+...... ,t h e n (a) S=ln8-2 (b) S=ln(4/e) (c) S=ln4+1 (d) none of these

" 1."(d)/(dx){log(x+sqrt(x^(2)+1))}=

Ifint_(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"then " x " is equalto" 4 (b) 1n 8 (c) 1n 4 (d) none of these

Ifint_(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"then " x " is equalto" 4 (b) 1n 8 (c) 1n 4 (d) none of these

Which of the following is not the solution of (log)_3(x^2-2)<(log)_3(3/2|x|-1) is (a) (sqrt(2),2) (b) (-2,-sqrt(2)) (c) (-sqrt(2),2 (d) none of these

Value of x satifying (log)_(10)sqrt(1+x)+3(log)_(10)sqrt(1-x)=(log)_(10)sqrt(1-x^2)+2 is a. 0ltxlt1 b. -1ltxlt1 c. -1ltxlt0 d. None of this

The value of ("lim")_(xvec2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1/(8sqrt(3)) (b) 1/(4sqrt(3)) (c) 0 (d) none of these