Question

Locate the discontinuities of the function

y=(5)/(3+e^(1/x))

Answer 1

first of all you dont need () those for the five so that's one, and you dont need the () for the 1/x

your problem should look like this

y=5(3+e^1x)

either that that idk

Answer 2

you do need the () around 1/x, since powers are done first, and you don't want (e^1)/x

3+e^(1/x) is never zero, so there are no discontinuities because of a zero denominator.

However, since 1/x is undefined at x=0, there is a jump there.

lim as x->0- = 5/3
lim as x->0+ = 0