# Question: 1 which graph describes function fx such that fx is...

###### Question details

1. which graph describes function f(x) such that f(x) is not continuous at x=3 and $\underset{x-->3}{\mathrm{lim}}$ f(x) exists

2. Let $\left\{\begin{array}{l}{e}^{-\frac{1}{{x}^{2}}}ifxnot0\\ 0ifx=0\end{array}\right)$

a. use the definition of derivative and I'Hospital's Rule to compare f'(0)

b. find the linear approximation of the g(x) =${\int}_{1}^{x}{e}^{\frac{-1}{{t}^{2}}}dtatx=1$

c.show that g(x) is one to one and find $\left({g}^{-1}\right)\text{'}\left(0\right)$