If `A=[1 2 2 1]a n df(x)=(1+x)/(1-x),t h e nf(A)` is `[1 1 1 1]` b. `[2 2 2 2]` c. `1-1-1-1` d. none of these

If f(1)=3,f^(prime)(1)=2,f^(1)=4,t h e n(f^(-1))^()(3)= a. 1 b. -1/2 c. -2 d. none of these

If f(x)="cos"((log)_e x),t h e nf(x)f(y)-1/2[f(x/y)+f(x y)] has value (a) -1 (b) 1/2 (c) -2 (d) none of these

If (x-1)/(x)=3, then the value of 1+(1)/(x^(2)) is (a) 9(b) 10(c)11 (d) None of these

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

If A=[1 2 0-1 1 2 2-1 1],t h e ndet(A d j(A d jA))= 13 (b) 13^2 (c) 13^4 (d) None of these

The value of (1-x^4)/(1+x)+(1+x^2)/xxx1/(x(1-x)) is (a) 1 (b) 1-x^2 (c) 1/x (d) 1+x (e) None of these

If (x+1)+f(x-1)=2f(x)andf(0),=0 then f(n),n in N, is nf(1)(b){f(1)}^(n)(c)0 (d) none of these

If a :(b+c)=1:3 a n d c :(a+b)=5:7, t h e b :(a+c) is equal to 1:2 b. 1:3 c. 2:3 d. 2:1

(lim)_(x rarr oo){(x^(3)+1)/(x^(2)+1)-(ax+b)}=2,then(a)a=1,b=1(b)a=1,b=2(c)a=1,b=-2(d) none of these

If sin^(-1)x-cos^(-1)x=pi/6 , then x= 1/2 (b) (sqrt(3))/2 (c) -1/2 (d) none of these