Q. if `f(3)=6` and `f'(3)=2`, then `limit_(x->3)(x f(3) - 3f(x))/(x-3)` is given by : (A) 6 (b) 4 (C) 0 (D) 1

If f(3)=6 and f'(3)=2, then lim_(x to 3) (xf (3)-3f(x))/(x-3) is given by

If f be a function such that f (9) =9 and f '(9) = 3, then lim _(x to 9) ( (sqrt ( f (x)) - 3))/( sqrtx - 3) is equal to : a)9 b)3 c)1 d)6

Let f: R->R be a continuous function and f(x)=f(2x) is true AAx in Rdot If f(1)=3, then the value of int_(-1)^1f(f(x))dx is equal to (a)6 (b) 0 (c) 3f(3) (d) 2f(0)

Let f: R->R be a continuous function and f(x)=f(2x) is true AAx in Rdot If f(1)=3, then the value of int_(-1)^1f(f(x))dx is equal to (a)6 (b) 0 (c) 3f(3) (d) 2f(0)

Let f: R->R be a continuous function and f(x)=f(2x) is true AAx in Rdot If f(1)=3, then the value of int_(-1)^1f(f(x))dx is equal to (a)6 (b) 0 (c) 3f(3) (d) 2f(0)

if the graph of the cont. function y=f(x) passes through the point (a, 0) and f(x)!=0 in the deleted neighbourhood of a then (lim)_(x->a)("log"{6f^2(x)-3f(x)+1})/(3f(x))= (A) 2 (B) 1 (C) -1 (D) none of these

If f(x) = | x | + [ x ] , then f( -3/2 ) + f( 3/2 ) is equal to : ( a ) 1 ( b ) -1/2 ( c ) 2 ( d ) 1/2

Let f:R rarr R be a continuous function and f(x)=f(2x) is true AA x in R .If f(1)=3 then the value of int_(-1)^(1)f(f(x))dx is equal to (a)6(b) 0 (c) 3f(3)( d) 2f(0)

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