it would really help to get a explaination on this one, im quite confused.
D. limit does not exist
im unsure , the e is confusing
I do not think the first one can be determined using limits. (It is undefined)
the second one is very straight forward it is just e^0 and that has the defined value of 1.
any number to the power of 0 is 1
e is just a special irrational number. Its value is approx 2.718
ok, I did not think about the question properly.
let alpha be a very small positive number
if x=1+alpha then 1/(x-1) is a positive huge number.
tan of a positive huge number
if x=1-alpha then 1/(x-1) is a negative equally huge number.
tan of a positive huge number is not equal to tan of a negative equally huge number.
So yes I suppose it is reasonable to conclude that the function is not continuous at x=1.