For let k(x)= (x-2)(x+1) (x-2)(x-3)

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

For

x\ne2,3

let

k(x)=\frac{(x-2)(x+1)}{(x-2)(x-3)},

and define no value at

x=3

while setting

k(2)=5

. Determine the type of discontinuity of

k

at each specified point. Provide your answer in the form

x=2

: ____ ;

x=3

: ____ .