If (x^2+x−2)/(x+3) <= (f(x))/x^2 <= (x^2...

If `(x^2+x−2)/(x+3) <= (f(x))/x^2 <= (x^2+2x−1)/(x+3)` hold for a certain interval containing the point `x=−1` and `lim_(x->1) f(x)` then find the value of `lim_(x->1) f(x)`

Similar Questions

Explore conceptually related problems

f(x)= |{:(cos x,,x,,1),(2sin x ,,x^(2),,2x),(tanx ,, x,,1):}| then find the value of lim_(xto 0) (f(x))/(x)

If lm_(x->oo) f(x) exists and is finite and nonzero and if lim_(x->oo) {{f(x)+(3f(x)−1)/(f_2(x))}=3 ,then the value of lim_(x->oo) f(x) is

If ("lim")_(xveca)[f(x)+g(x)]=2a n d ("lim")_(xveca)[f(x)-g(x)]=1, then find the value of ("lim")_(xveca)f(x)g(x)dot

If f(x)=2x-x^(2) then find the value of f(1)=____.

If ("lim")_(xvec0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(("lim")_(xvec0)[1+(f(x))/x]^(1/x))i s____

A continuous real function f satisfies f(2x)=3(f(x)AAx in RdotIfint_0^1f(x)dx=1, then find the value of int_1^2f(x)dx

"Let "f(x)=((2^(x)+2^(-x))sin x sqrt(tan^(-1)(x^(2)-x+1)))/((7x^(2)+3x+1)^(3)) . Then find the value of f'(0).

If f(x)=lim_(nrarroo) (cos(x)/(sqrtn))^(n) , then the value of lim_(xrarr0) (f(x)-1)/(x) is