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# C4 Math question watch

1. AS t→infinity, x tends to a limiting value, find this limiting value
the equation is (2e^t -2)/(2e^t -1)
can someone explain to me what this means
thanks
2. (Original post by mlyke)
AS t→infinity, x tends to a limiting value, find this limiting value
the equation is (2e^0.5 -2)/(2e^0.5 -1)
can someone explain to me what this means
thanks
That's not an equation, that's a number....
3. (Original post by RDKGames)
That's not an equation, that's a number....
oh oops,
replace the 0.5 with ts
4. (Original post by mlyke)
AS t→infinity, x tends to a limiting value, find this limiting value
the equation is (2e^t -2)/(2e^t -1)
can someone explain to me what this means
thanks
Note that
5. (Original post by Mr M)
Note that
could you explain that, haven't learn that in class and would like to understand it
thanks
6. (Original post by mlyke)
could you explain that, haven't learn that in class and would like to understand it
thanks
The middle bit just says so I'm sure you follow that.

The bit on the right just uses the fact that a number divided by itself = 1 (this is true for all numbers except 0).
7. (Original post by Mr M)
The middle bit just says so I'm sure you follow that.

The bit on the right just uses the fact that a number divided by itself = 1 (this is true for all numbers except 0).
Mh i understand that but how does infinity play a role here, sorry if this sounds a bit ignorant just want to understand the thought process
The answer is 1 so its obviously right
8. (Original post by mlyke)
oh oops,
replace the 0.5 with ts
Okay so you have . Now you can do what Mr M has suggested. Otherwise, an alternative is to divide top and bottom of the fraction by so it becomes and as you have then what does x tends to?
9. (Original post by mlyke)
Mh i understand that but how does infinity play a role here, sorry if this sounds a bit ignorant just want to understand the thought process
The answer is 1 so its obviously right
You end up with

Use your calculator to find the reciprocal of a really big number.
10. (Original post by Mr M)
You end up with

Use your calculator to find the reciprocal of a really big number.

ohhh i understand now thank you very much

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