Question

For \[\frac{f}{g}\] to be continuous at \[x=c\], which condition is required?

Options

• \[f(c)=g(c)\]

• \[g(c)\neq 0\]

• \[f(c)=0\]

• \[g(c)=0\]

Answer 1

The quotient \[\frac{f}{g}\] is continuous at \[c\] provided that \[g(c)\neq 0\]. A zero denominator prevents the quotient from being defined at that point.