Consider and the values listed near

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

Problem

Consider

p(x)=\dfrac{|x-5|}{x-5}

and the values listed near

x=5

. x : 5.1 5.01 5.001 p(x): 1 1 1 x : 4.9 4.99 4.999 p(x): –1 –1 –1 Find the right-hand limit

\displaystyle \lim_{x\to5^{+}}p(x)

. (a)

-1

(b)

0

(c)

1

(d) The limit does not exist