Calculus Definitions

Question 1

A function is continuous at a number a if:

Answer 1

lim x -> a f(x)=f(a)

Question 2

The line x=a is called a vertical asymptote of the curve y=f(x) if at least one of the following is true:

Answer 2

1. lim x -> a f(x)=infinity
2. lim x->a- f(x)=infinity
3. lim x->a+ f(x)=infinity
4. lim x->a f(x)=-infinity
5. lim x->a- f(x)=-infinity
6. lim x->a+ f(x)=-infinity

Question 3

lim x->0+ ln(x)=

Answer 3

-infinity