IIT JEE LIMITS AND DERIVATIVES Suppose that `f` is a function such that `2x^2lt=f(x)lt=x(x^2+1)` ...

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.

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