Need help understanding one sided limits

[abel muroi]

I was given this problem during a quiz

f(x) = tan x

and i was told to find the limit as x approaches (3pi)/(2) from the positive side


I'm not entirely sure if i did this problem the correct way, but I drew the graph of tan x, and i drew the point (3pi)/(2) on the x-axis, and i noticed that as x approaches (3pi)/(2) from the positive side, the curve of the graph went to negative infinity. So the answer must be negative infinity

Is negative infinity the correct answer?

 

[Ishuda]

I was given this problem during a quiz

f(x) = tan x

and i was told to find the limit as x approaches (3pi)/(2) from the positive side


I'm not entirely sure if i did this problem the correct way, but I drew the graph of tan x, and i drew the point (3pi)/(2) on the x-axis, and i noticed that as x approaches (3pi)/(2) from the positive side, the curve of the graph went to negative infinity. So the answer must be negative infinity

Is negative infinity the correct answer?

Yes, if 'from the positive side' means that x is greater than (3pi)/(2) which it usually does. I could have just said 'yes' but felt like running off at the hands a bit :smile: