Posted by **Mishaka** on Saturday, October 22, 2011 at 6:34pm.

Let f be defined as follows, where a does not = 0,

f(x) = {(x^2 - 2a + a^2) / (x-a), if x does not = a

5, if x = a

Which of the following are true about f?

I. lim f(x) exists as x approaches a

II. f(a) exists

III. f(x) is continuous at x = a.

A. None

B. I, II, and III

C. I only

D. II only

E. I and II only.

From my own knowledge, I would say that it is D. II only. Since we do not know what is equal to, we cannot determine what the limits or continuity would be at a. Is this correct?

## Answer This Question

## Related Questions

- math/calculus - The function f is defined as follows: f(x)={x+6 if -5 less than ...
- calculus - Let f be defined as follows: h(x)= -x-3 for x greater than or equal ...
- Calculus - Let f be defined as follows. y = f(x) = x^2 - 4 x (a) Find the ...
- calculus - Let f be defined as follows. F(x)=y=x^2 -7 (a) Find the average rate ...
- calculus again - Suppose lim x->0 {g(x)-g(0)} / x = 1. It follows necesarily ...
- Math - Let f be defined as follows. f(x)=x^2+6x (a) Find the derivative f ' of f...
- Algebra - Suppose that the functions q and r are defined as follows: q(x)=2x+1 r...
- math - Suppose that the functions f and g are defined for all real numbers x as ...
- DISCRETE MATH - We have a relation R on Z+ defined as follows: mRn if and only ...
- Further maths - Two functions f and g are defined over the set of R of real ...

More Related Questions