Thread: Estimate value of e

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the expression posted is very good approximation of e³

Can you show me the steps please?

Originally Posted by Eraser147

Can you show me the steps please?

It is well known that .

So if then from the limit we see it is an approximation for

I don't know limits yet. Is there another explanation?

Originally Posted by Eraser147

I don't know limits yet. Is there another explanation?

Absolutely none that I know.
If you don't know about limits, then I cannot understand why you were asked this question. What does question relate to? Is it in any particular course?

it's related to natural logs. That's all I learned in class.

One sec, there is always a simple explanation. First consider this.

(1 + 1/1)^1 = 1.
(1 + 1/2)^2 = 9/4 = 2.25.
(1 + 1/3)^3 = 64/27 = 2.37
(1 + 1/4)^4 = 625/256 = 2.44

as you can see, the values are approaching something, right. For higher values of n, the expression (1 + 1/n)^n likely, remains constant with little variation. Similarly, use a calculator or some math programs and work out what he is saying, you will see the point.

Salahuddin
Maths online