If

\\\\lim_(x->1)f(x)=5

, must

f

be defined at

x=1

? If it is, must

f(1)=5

? Can anything be concluded about the values of

f

at

x=1

? Explain.\ Must

f

be defined at

x=1

?\ Yes\ No\ If

f

is defined at

x=1

, must

f(1)=5

?\ A. No, because it might be a piecewise function where the limit approaching 1 from the left and the limit approaching 1 from the value.\ B. No, because even if a function is defined at a particular point, it may not exist at that point.\ C. Yes, because if it is defined at

x=1

, the

f(1)

must equal

\\\\lim_(x->1)f(x)

.\ Can anything be concluded about the values of

f

at

x=1

?\ A. Yes,

f(1)

must equal 5 .\ B. No, nothing can be concluded without knowing more about the definition of

f

.

If limx1f(x)=5, must f be defined at x=1 ? If it is, must f(1)=5 ? Can anything be concluded about the values of f at x=1 ? Explain. Must f be defined at x=1 ? Yes No If f is defined at x=1, must f(1)=5 ? A. No, because it might be a piecewise function where the limit approaching 1 from the left and the limit approaching 1 from the value. B. No, because even if a function is defined at a particular point, it may not exist at that point. C. Yes, because if it is defined at x=1, the f(1) must equal limx1f(x). Can anything be concluded about the values of f at x=1 ? A. Yes, f(1) must equal 5 . B. No, nothing can be concluded without knowing more about the definition of f