A function f is continuous at the point  if the following conditions are satisfied.



1.  is defined.

2.  exists.

3. .



Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s) for continuity that are violated.













A. ; conditions 1, 2
B. ; conditions 2, 3
C. ; conditions 1, 2
D. ; condition 2
E. Continuous everywhere.


Answer: B

Mathematics

You might also like to view...

Use Simpson's rule to approximate the value of the integral defined by the given set of points.

A. 6.99 B. 8.55 C. 5.61 D. 8.35

Mathematics

Find at least three nonzero terms [including a0, at least two cosine terms (if they are not all zero) and at least two sine terms (if they are not all zero)] of the Fourier series for the given function.f(x) = 

A. f(x) =  -  + 2
B. f(x) =  -  + 
C. f(x) =  -  + 2
D. f(x) =  -  + 2

Mathematics

Provide an appropriate response.Explain why the sum  -  -  can be simplified quickly.

What will be an ideal response?

Mathematics

Find the measure of the requested angle.Find the supplement of 117°.

A. 243° B. 63° C. Not possible D. 153°

Mathematics