Uni Stuff > Mathematics
Real Analysis
QuantumJG:
Ok I have hit a rather embarrassing but confusing question.
What is x2?
Actually according to wikipedia,
QuantumJG:
Ok is it ?
QuantumJG:
Another question asks me to define ex
Is this definition ok for ex?
TrueTears:
well the way you have defined e^x is centered at 0, which is a Maclaurin series, it could be centered around other numbers. You could also add that the radius of convergence is infinity, so the series converges for all x.
Maybe you could also use taylor's inequality and prove that e^x is indeed equal to this specific taylor expansion. Which will prove that your definition is correct.
QuantumJG:
We haven't looked at that stuff yet! :P
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