Suppose that `f` is a function such that `2x^2lt=f(x)lt=x(x^2+1)` for all `x` that are near to 1 but not equal to 1. Show that this fact contains enough information for us to find `("lim")_(xvec1)f(x)dot` Also, find this limit.

Suppose that f is a function such that 2x^2lt=f(x)lt=x(x^2+1) for all x that are near to 1 but not equal to 1. Show that this fact contains enough information for us to find ("lim")_(x->1)f(x)dot Also, find this limit.

Suppose that f is a function such that 2x^2lt=f(x)lt=x(x^2+1) for all x that are near to 1 but not equal to 1. Show that this fact contains enough information for us to find ("lim")_(x->1)f(x)dot Also, find this limit.

Suppose that f is a function such that 2x^(2)<=f(x)<=x(x^(2)+1) for all x that are near to 1 but not equal to 1. Show that this fact contains enough information for us to find lim_(x rarr1)f(x). Also,find this limit.

For the function f(x) = 2 . Find lim_(x to 1) f(x)

For the function f(x) = 2 . Find lim_(x to 1) f(x)

Evaluate the limits using the expansion formula of functions ("lim")_(xvec0)(e^x-1-x)/(x^2)

If the function f(x) satisfies lim_(x to 1) (f(x)-2)/(x^(2)-1)=pi , then lim_(x to 1)f(x) is equal to

Given a real-valued function f such that f(x)={(tan^2{x})/((x^2-[x]^2) sqrt({x}cot{x}),for x 0 Where [x] is the integral part and {x} is the fractional part of x , then ("lim")_(xvec0^+)f(x)=1 , ("lim")_(xvec0^-)f(x)=cot1 , cot^(-1)(("lim")_(xvec0^-)f(x))^2=1 , tan^(-1)(("lim")_(xvec0^+)f(x))=pi/4

Given a real-valued function f such that f(x)={(tan^2{x})/((x^2-[x]^2) sqrt({x}cot{x}),for x 0 Where [x] is the integral part and {x} is the fractional part of x , then ("lim")_(xvec0^+)f(x)=1 , ("lim")_(xvec0^-)f(x)=cot1 , cot^(-1)(("lim")_(xvec0^-)f(x))^2=1 , tan^(-1)(("lim")_(xvec0^+)f(x))=pi/4

Let f be a real function defined by f(x)=sqrt(x-1) . Find (fofof)(x)dot Also, show that fof!=f^2 .