"the values f(x) of a function f can be made arbitrarily large by taking x sufficiently close to 2 but not equal to 2. Which of the following statements must be true?

Question

a. f(2) does not exist.

b. f is continuous at x=2.

c. limx→2f(x)=∞

d. limx→∞f(x)=2

would it be c? I think there's a vertical asymptote there because the numbers are getting large without it actually touching the number so it'd approach infinity rather than a set number. Thanks!

Answer 1

looks good

Answer 2

ok. thanks :D