Question

If f(x) = {ln x for 0 < x less than or equal to 2

Answer 1

Lim f (x)                = lim  ln x =  ln2
 x approaches 2      x approaches 2
 for x<=2                    for x<=2 

lim f (x)                 = lim x^2 ln2        = 4ln2
x approaches 2      x approaches 2
 for x>2                    for x>2