Thread: Verify limit?

Hi All,

I've been wrapping my head around this limit problem and I think my error is stemming from some bad factoring but I could be wrong:

Limit as x approaches 0 from positive infinity
((3^x)-(3^-x))/((3^x)+(3^-x)

The answer should be: approaches 1.

The answer I always get is 0.

Any help would be much appreciated!

Originally Posted by jokem

Hi All,

I've been wrapping my head around this limit problem and I think my error is stemming from some bad factoring but I could be wrong:

Limit as x approaches 0 from positive infinity
((3^x)-(3^-x))/((3^x)+(3^-x)

The answer should be: approaches 1.

The answer I always get is 0.

Any help would be much appreciated!

I agree that this should approach 0 as you make x approach 0.

You don't even need to take limits. This function is continuous on all of .

f(0) does equal 0.

But the limit at infinity is 1... maybe the problem was read or interpreted wrong?

Wow, thank you very much!