Let `f(x)` be the fourth degree polynomial such that `f^(prime)(0)=-6,f(0)=2 and (lim)_(x->1)(f(x))/((x-1)^2)=1` The value of `f(2)` is a.`3` b. 1 c. `0` d.`2`

Let f(x) be the fourth degree polynomial such that f^(prime)(0)-6,f(0)=2a n d(lim)_(xvec1)(f(x))/((x-1)^2)=1 The value of f(2) is 3 b. 1 c. 0 d. 2

Let f(x) be the fourth degree polynomial such that f'(0)-6,f(0)=2 and lim_(x rarr1)(f(x))/((x-1)^(2))=1 The value of f(2) is 3 b.1 c.0 d.2

Let f(x) be a polynomial of degree 4 such that f(1)=1,f(2)=2,f(3)=3,f(4)=4 and lim_(x rarr oo)(xf(x))/(x^(5)+1)=1 then value of f(6) is

Let f: R->R be such that f(1)=3 and f^(prime)(1)=6. Then lim_(x->0)((f(1+x))/(f(1)))^(1//x)=

If f(x) is a polynomial of degree 2, such that f(0)=3,f'(0)=-7,f''(0)=8 int_(1)^(2)f(x)dx=

Let f(x) be differentiable for real x such that f^(prime)(x)>0on(-oo,-4), f^(prime)(x) 0on(6,oo), If g(x)=f(10-2x), then the value of g^(prime)(2) is a. 1 b. 2 c. 0 d. 4

Let f(x) be differentiable for real x such that f^(prime)(x)>0on(-oo,-4), f^(prime)(x) 0on(6,oo), If g(x)=f(10-2x), then the value of g^(prime)(2) is a. 1 b. 2 c. 0 d. 4

The second degree polynomial satisfying f(x),f(0)=0,f(1)=1,f'(x)>0AA x in(0,1)

Let f:RrarrR be such that f(a)=1, f(a)=2 . Then lim_(x to 0)((f^(2)(a+x))/(f(a)))^(1//x) is

Let f:RrarrR be such that f(a)=1, f(a)=2 . Then lim_(x to 0)((f^(2)(a+x))/(f(a)))^(1//x) is