Thread: What are the LIMITS of these functions?

What is the limit of sin(x) as x is approaching infinity?

Also, what is the limit of tan(x) when x is approaching pi from the right? (RIGHT HAND LIMIT)

Last, what is the limit of tan(x) when x is approaching to pi?

And last one, what is the limit of f(x) (4/x , x less than 1) and (x^3 - 2x + 5 , x greater than 1.) This function is probably peicewise.

Thank you very much.

Thank you!

does not exist, because the function continues to oscillate around .









.

This is the same coming from the right and the left.


Your final question is unreadable...

Are you asking what is

where ?

Thank you. Except for my last question, it's 4/x, not 4x.

To evaluate that limit, if it exists, work out what the function approaches from the left (when ) and what the function approaches from the right (when . If they are the same, then the limit exists and is this value.