For , define h(x)= (x^ 2 -1)(x-4) (x-1)(x-4) . To make continuous at both and , which…

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

Problem

For

x\neq1,4

, define

h(x)=\frac{(x^{2}-1)(x-4)}{(x-1)(x-4)}.

To make

h

continuous at both

x=1

and

x=4

, which pair of values should be assigned to

h(1)

and

h(4)

, respectively? (a)

h(1)=1,\;h(4)=5

(b)

h(1)=2,\;h(4)=4

(c)

h(1)=2,\;h(4)=5

(d)

h(1)=0,\;h(4)=3