Determine whether or not the function is continuous for the given values of X. f(x) = x^2-25/x-7 :x=0, x=7,x= -5

Is the function continuous at x=0?

a. Yes, the point is defined, limit f(x) exists, and limit f(x) 0. (Simplify your answer.)
x →c x →0

b. No, the function is not continuous at x=0 .

A. Yes, the point is defined, limit f(x) exists, and limit f(x) 0.

Step-by-step explanation:

Let be , a rational function is continuous at a value of if and only if denominator is different from zero. In particullar, .

Then, we find that function is continuous for every value of except . Thus, the function is continuous at , which is evaluated below:

Thus, correct answer is A.

answer:

sometimes

*i think