## anonymous 5 years ago locate the discontinuity y = 4/(9 + e^(7/x))

1. watchmath

x=0 only

2. anonymous

could you explain

3. watchmath

the function e^(7/x) is undefined at x=0, other than that e^(7/x) is continuous

4. anonymous

oh, so its discontinuous when the domain is undefined or zero?

5. watchmath

That is one of the case where the function discontinuous. Remember that the function is continuous at x=c if $$\lim_{x\to c}f(x)=f(c)$$. So if we can't evaluate f(c), i.e., f(c) is undefined then that immediatly implies that the function is discontinuous at x=c.

6. anonymous

could you help with this _________discontinuity of y = ln((tan(x))2)