MATH 221 Homework on Classifying Discontinuities (Due Monday, September 15)
1. . Find and classify the discontinuities of the function defined below. Show all the necessary limits and clearly specify the discontinuities.
a)
.
b)
2. Give an example (by formula) of a function, f(x), that has a removable discontinuity at x = 2 and an essential discontinuity at x = 4.
3. For what value of a is the following function continuous at x = 1?