I had a math problem that I need help with. I already have the answer but I can't arrive at the explanation.

It is the following:

P(x)=(KP_{0}e^{2x})/(K+P_{0}(e^{2x}-1))

limx -- infinity

They want us to take the limit going to infinity. K and P_{0 }are constants.

I would think that since e^{2x }would most likely be infinity, that infinity multiplied by the constants would be infinity in the numerator.

In the denominator, there should be infinity + constant.

However, the book says the answer is K and I don't know why this would be the case.

Do any experts out there know why the answer would be K?

Thanks much for any help at understanding.

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