For the function h(x)= x^3-27/x^2-9 complete the following:

Question

a. Make a table of values of h(x) for x values close to 3 and on both sides of zero.

 

b. Make a conjecture about lim x arrow 3 h(x). Round conjecture to 2 decimal places.

             

Answer 1

Making a table of values can be a pain. Calculator optional, but highly desirable. Check out the following graph to get the idea.

https://www.desmos.com/calculator/otd8ormj0f

 

Enable and disable the functions for f, g, h to get an idea of what the point is.