+0  
 
0
53
4
avatar+1982 

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

 Sep 4, 2020
 #1
avatar+110835 
+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

 Sep 4, 2020
 #2
avatar+1982 
+1

the first says it is c, im confused:/

 

the other one makes sense! i forgot about that

jjennylove  Sep 4, 2020
 #3
avatar+1982 
+1

can you explain why it may be C ?

 Sep 4, 2020
 #4
avatar+110835 
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.

 Sep 4, 2020

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