Question

locate the discontinuity
y = 4/(9 + e^(7/x))

Answer 1

x=0 only

Answer 2

could you explain

Answer 3

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

Answer 4

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

Answer 5

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.

Answer 6

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