Let F(x)=(x−2)2(x−5)(x−2)3(x+1). Which one of the following statements about F is correct?
a) F is continuous at x=2 and has a vertical asymptote at x=5.
b) F has vertical asymptotes at both x=2 and x=5.
c) F has a removable discontinuity at x=2 and a vertical asymptote at x=5.
d) F has removable discontinuities at both x=2 and x=5.