Questions:

1. f is the function of f(x)= x^4-4x^2 / x^2-4x Which of the statements down below is true?

a. f has a removable discontinuity at x=0 and a discontinuity due to vertical asymptote at x=4

b. f has a discontinuity due to vertical asymptote at x=0 and at x=4

c. f is continuous at x=0 and f has a discontinuity due to a vertical asymptote at x=4

d. f has a removable discontinuity at x=0 and a jump discontinuity at x=4

2. If lim f(x)=L, where L is a real number. Which of the following answer options must

xa

be true?

a. f(a)= L

b. none of the ones mentioned

c. f(a) exists

d. f(x) is determined at x=a

e. f(x) is continous at x=a