Home
Class 12
MATHS
[" Let "f:R rarr R" be a continuous odd ...

[" Let "f:R rarr R" be a continuous odd function,which "],[" vanishes exactly at one point and "f(1)=(1)/(2)" ."],[" Suppose that "F(x)=int_(-1)^(x)f(t)dt" for all "x in[-1,2]" and "],[G(x)=int_(-1)^(x)t|f{f(t)}|dtquad " for "quad " all "quad x in[-1,2].],[lim_(x rarr1)(F(x))/(G(x))=(1)/(14)," then the value of "f((1)/(2))" is "],[x rarr1(F(x))/(G(x))=(1)/(14)," then the value of "f((1)/(2))" is "]

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f:R rarr R be a continuous odd function,which vanishes exactly at one point and f(1)=(1)/(2). supposs that F(x)=int_(-1)^(x)f(t)dt for all x in[-1,2] and G(x)=int_(-1)^(x)t|f(f(t))|dt for all x in[-1,2]. If lim_(x rarr1)(F(x))/(G(x)) Then the value of f((1)/(2)) is

Let f: R rarr R be a continuous odd function, which vanishes exactly at one point and f(1)=1/2 . Suppose that F(x)=int_(-1)^xf(t)dt for all x in [-1,2] and G(x)=int_(-1)^x t|f(f(t))|dt for all x in [-1,2] . If lim_(x rarr 1)(F(x))/(G(x))=1/(14) , Then the value of f(1/2) is

Let f: R rarr R be a continuous odd function, which vanishes exactly at one point and f(1)=1/2 . Suppose that F(x)=int_(-1)^xf(t)dt for all x in [-1,2] and G(x)=int_(-1)^x t|f(f(t))|dt for all x in [-1,2] . If lim_(x rarr 1)(F(x))/(G(x))=1/(14) , Then the value of f(1/2) is

Let f: RR to RR be a continuous odd function, which vanishes exactly at one point and f(1)=(1)/(2) . Suppose that F(x)=int(-1)^(x)f(t)dt for all x in[-1,2] and G(x)=int_(-1)^(x)t|f(ft)|dt" for all "x in[-1,2]." If "underset(xto1)lim(F(x))/(G(x))=(1)/(14) then the value of f((1)/(2)) is-

Let f:RrarrR be a continuous odd function, which vanishes exactly at one point and f(1)=1/2. Suppose that F(x)=int_-1^xf(t)dt for all x in[-1,2] . If lim_(xto1)(F(x))/(G(x))=1/14 , then the value of f(1/2) is

Let f: RvecR be a continuous odd function, which vanishes exactly at one point and f(1)=1/2dot Suppose that F(x)=int_(-1)^xf(t)dtfora l lx in [-1,2]a n dG(x)=int_(-1)^x t|f(f(t))|dt fora l lx in [-1,2]dot If (lim)_(x vec 1)(F(x))/(G(x))=1/(14), Then the value of f(1/2) is

Let f: RvecR be a continuous odd function, which vanishes exactly at one point and f(1)=1/2dot Suppose that F(x)=int_(-1)^xf(t)dtfora l lx in [-1,2]a n dG(x)=int_(-1)^x t|f(f(t))|dtfora l lx in [-1,2]dotIf(lim)_(xvec1)(F(x))/(G(x))=1/(14), Then the value of f(1/2) is

Let lim_(x rarr1)(x^(a)-ax+a-1)/((x-1)^(2))=f(a). Then the value of f(4) is

If int_(0)^(x)f(t)dt=x+int_(x)^(1)tf(t)dt , then the value of f(1) is

If int_(0)^(x)f(t)dt=x+int_(x)^(1)tf(t)dt , then the value of f(1) is