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].