Let f(x) = (|__x__|)/(x^2 + 1) where |__x__| denotes the greatest integer less than or equal to x. Then?
A. f is continuous for all x .
B. f is continuous only when x is an integer.
C. f is continuous only when x is not an integer.
D. f is not continuous at any value of x .
I know that the function is continuous at every point except at x^2 +1 = 0
But x^2 = -1 is not a real number.
Please help.
A.
B.
C.
D.
I know that the function is continuous at every point except at
But
Please help.
1 Answer
Jun 22, 2017
See below.
Explanation:
Attached a function plot explaining the function behavior.