Let and be continuous at

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

f

and

g

be continuous at

x=3

. Consider the function

h(x)=\frac{f(x)+g(x)}{f(x)-g(x)}.

At

x=3

,

h

will NOT be continuous if (a)

f(3)+g(3)=0

(b)

f(3)=g(3)

(c)

f(3)=0

(d)

f(3)\,g(3)=0

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