# Question: 1 sketch the graph describes function fx such that fx...

###### Question details

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

2. Sketch the graph of a function g consists of two straight lines and a semi-circle. Use it to evaluate the following integral ${\int}_{0}^{7}(3-3g(x)+x{(1-2x)}^{2019})dx$