When

\\\\lim_(x->a)f(x)

exists, it always equals

f(a)

. State whether this statement is true or false.\ Choose the correct answer.\ A. True. Evaluate

f(x)

at

x=a

. Therefore

\\\\lim_(x->a)f(x)=f(a)

.\ B. False. The limit can never exist if

f(a)

is not defined.\ C. False. The value of

\\\\lim_(x->a)f(x)

(if it exists) depends on values of

f

near

a

, but it does not depend on the value of

f(a)

.\ D. True. If

x=a

, then

f(x)=f(a)

.

When limxaf(x) exists, it always equals f(a). State whether this statement is true or false. Choose the correct answer. A. True. Evaluate f(x) at x=a. Therefore limxaf(x)=f(a). B. False. The limit can never exist if f(a) is not defined. C. False. The value of limxaf(x) (if it exists) depends on values of f near a, but it does not depend on the value of f(a). D. True. If x=a, then f(x)=f(a)