MHB Is the Limit of 5/(x^2 - 4) as x Approaches 2 from the Right Positive Infinity?

[nycmathdad]

Find the limit of 5/(x^2 - 4) as x tends to 2 from the right side.

Approaching 2 from the right means that the values of x must be slightly larger than 2.

I created a table for x and f(x).

x...2.1...2.01...2.001
f(x)...12...124.68...1249.68

I can see that f(x) is getting larger and larger and possibly without bound.

I say the limit is positive infinity.

Yes?

 

[jonah1]

Problem 1.5.29.
Odd numbered.
Look up the answer.

 

[HOI]

For x close to 2 and positive, the denominator, x^2- 4, is close to 0 and positive while the numerator, 5, is positive. That is enough to say that the limit, as x goes to 2 from the right, is positive infinity.

 

[HOI]

Problem 1.5.29.
Odd numbered.
Look up the answer.

Well that's no fun!

 

[nycmathdad]

Well that's no fun!

Exactly. Looking up the answer is for idiots, for lazy pieces of you know what.

 

[jonah1]

Beer soaked ramblings follow.

Well that's no fun!

Exactly. Looking up the answer is for idiots, for lazy pieces of you know what.

Translation: I like it when someone is on my side for a change as opposed to the usual criticism I get. It emboldens me to call people names.

P.S. I just noticed that nycmathdad just got banned again.