Let `f^(x)` be continuous at `x=0` If `("lim")_(xvec0)(2f(x)-3a(f(2x)+bf(8x))/(sin^2x)` exists and `f(0)!=0,f^(prime)(0)!=0,` then the value of `(3a)/b` is____

Let f''(x) be continuous at x=0 If lim_(x rarr0)(2f(x)-3a(f(2x)+bf(8x))/(sin^(2)x) exists and f(0)!=0,f'(0)!=0, then the value of (3a)/(b) is

Let f''(x) be continuous at x=0 If lim_(xto0) (2f(x)-3af(2x)+bf(8x))/(sin^(2)x) exists and f(0)ne0,f'(0)ne0 , then the value of 3a//b is________.

Let f ''(x) be continuous at x=0 If lim_(xto0) (2f(x)-3af(2x)+bf(8x))/(sin^(2)x) exists and f(0)ne0,f'(0)ne0 , then find the value of 3a//b is________.

Let f'(x) be continuous at x=0 and f'(0)=4 then value of lim_(x rarr0)(2f(x)-3f(2x)+f(4x))/(x^(2))

Let f''(x) be continuous at x = 0 and f"(0) = 4 then value of lim_(x->0)(2f(x)-3f(2x)+f(4x))/(x^2)

Let f(x) be a twice-differentiable function and f"(0)=2. The evaluate: ("lim")_(xvec0)(2f(x)-3f(2x)+f(4x))/(x^2)

Let f(x) be a function defined on (-a ,a) with a > 0. Assume that f(x) is continuous at x=0a n d(lim)_(xvec0)(f(x)-f(k x))/x=alpha,w h e r ek in (0,1) then a. f^(prime)(0^+)=0 b. f^(prime)(0^-)=alpha/(1-k) c. f(x) is differentiable at x=0 d. f(x) is non-differentiable at x=0

Let f(x) be a function defined on (-a ,a) with a > 0. Assume that f(x) is continuous at x=0a n d(lim)_(xvec0)(f(x)-f(k x))/x=alpha,w h e r ek in (0,1) then f^(prime)(0^+)=0 b. f^(prime)(0^-)=alpha/(1-k) c. f(x) is differentiable at x=0 d. f(x) is non-differentiable at x=0

Let f(x) be a function defined on (-a ,a) with a > 0. Assume that f(x) is continuous at x=0a n d(lim)_(xvec0)(f(x)-f(k x))/x=alpha,w h e r ek in (0,1) then f^(prime)(0^+)=0 b. f^(prime)(0^-)=alpha/(1-k) c. f(x) is differentiable at x=0 d. f(x) is non-differentiable at x=0