Is the graph of #f (x) = (X^2 + x)/x# continuous on the interval [4, 4]?
1 Answer
Feb 9, 2017
see below
Explanation:
To show that the function

Show that
#lim_(x>4^+) (x^2+x)/x =f(4)# 
Show that
#lim_(x>4^) (x^2+x)/x =f(4)#
That is,
#lim_(x>4^+) (x^2+x)/x =lim_(x>4^+) (x(x+1))/x#
Since
2.
Since
Since f is continuous from the left at x = 4and continuous from the right at x = 4, hence f is continuous on the interval [4,4].