If `f(x)={(x^2+1,x>=1),(3x-1,x<1):}`.then the value of `lim_(x->1) f(x)` is
(a) 2
(b) - 2
(c) 1
(d) - 1

If f(x)=cos(logx), then value of f(x) f(4)-1/2{f(x/4)+f(4x)} is (a) 1 (b) -1 (c) 0 (d) +- 1

If 2f(x^2)+3f(1/x^2)=x^2-1 , then f(x^2) is

If x!=1\ a n d\ f(x)=(x+1)/(x-1) is a real function, then f(f(f(2))) is (a) 1 (b) 2 (c) 3 (d) 4

If f(x)=(sin^(-1)x)/(sqrt(1-x^2)),t h e n(1-x^2)f^(x)-xy(x)= 1 (b) -1 (c) 0 (d) none of these

If f(x)=(sin^(-1)x)/(sqrt(1-x^2)),t h e n(1-x^2)f^(x)-xf(x)= (a)1 (b) -1 (c) 0 (d) none of these

If f(x)=|\(1,x,x+1),(2x,x(x-1),(x+1)x,3x(x-1),x(x-1)(x-2),(x+1)x(x-1))| then f(100) is equal to (A) 0 (B) 1 (C) 100 (D) -100

If f(x)=|(1, x, x+1), (2x, x(x-1), (x+1)x), (3x(x-1), x(x-1)(x-2), (x+1)x(x-1))| then f(5000) is equal to 0 b. 1 c. 500 d. -500

If f(x)=(e^x)/(1+e^x), I_1=int_(f(-a))^(f(a))xg(x(1-x)dx and I_2=int_(f(-a))^(f(a)) g(x(1-x))dx , then the value of (I_2)/(I_1) is (a) -1 (b) -2 (c) 2 (d) 1

If f(x) = x^3 - frac{1}{x^3} then f(x)+f(1/x)= (A)2 x^3 (B) 2/x^3 (C) 0 (D) 1

Let f(x) be a polynomial such that f(-1/2)=0, then a factor of f(x) is:? (a) 2x-1 (b) 2x+1 (c) x-1 (d) x+1