Not sure how to start 'table of values' to estimate limit

[skatru]

There are a series of questions and they all ask this:

Use a table of values to estimate (the limit as x approaches infinity) (1 + 1/X)^X to 4 decimal places.

I know how to use a table of values to estimate the limit when x approaches a specific number but I'm not sure how to go about finding the limit when x approaches infinity. Can anyone help?

Thanks

 

[Mrspi]

Re: Not sure how to start...

There are a series of questions and they all ask this:

Use a table of values to estimate (the limit as x approaches infinity) (1 + 1/X)^X to 4 decimal places.

I know how to use a table of values to estimate the limit when x approaches a specific number but I'm not sure how to go about finding the limit when x approaches infinity. Can anyone help?

Thanks

"x approaches infinity" means that x gets very large.

So, to create a table of values, you may want to consider values of x which get very large.

Evaluate the expression for x = 1000, x = 100000, x = 1000000, etc.

 

[kasie-tutor]

Re: Not sure how to start...

Dear Skatru,

I'm not sure how to go about finding the limit when x approaches infinity.

Let x be powers of ten. For example, let x be \(\displaystyle 10^0\), \(\displaystyle 10^1\), \(\displaystyle 10^2\), and so on.

 

[skatru]

Re: Not sure how to start...

Thank you