1.

it would really help to get a explaination on this one, im quite confused.

2.

A. −1

B. 0

C. 1

D. limit does not exist

im unsure , the e is confusing

jjennylove Sep 4, 2020

#1**+1 **

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

Melody Sep 4, 2020

#2**+1 **

the first says it is c, im confused:/

the other one makes sense! i forgot about that

jjennylove
Sep 4, 2020

#4**0 **

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.

Melody Sep 4, 2020