please solve using python

3. Given f(x)=13x3x2+3 (a) Plot the function. How many horizontal and vertical asymptotes do you observe. (b) Use the for command to evaluate the function at x=10,50,100, then x=10,50,100 to numerically approximate limxf(x) and limxf(x). (NOTE: Data types are important here! Remember there is a difference between 10 and 10.0. Consider which type you may want to use here.) (c) Use Python to calculate the limits in part (b). (d) How do parts (b) and (c) relate to part (a)