I'm needing a direction for this problem:

show terms correct to O for , , and .

I'm thinking a series expansion for each expression. But I'm just a little confused. Any help or suggestions would be greatly appreciated.

Thanks!

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- Feb 4th 2008, 12:18 AMacseng[SOLVED] Big O for functions of epsilon
I'm needing a direction for this problem:

show terms correct to O for , , and .

I'm thinking a series expansion for each expression. But I'm just a little confused. Any help or suggestions would be greatly appreciated.

Thanks! - Feb 4th 2008, 04:22 AMmr fantastic
You need a series for each - up to the term.

For the first, I'd first re-write it as .

For the second, I'd first re-write it as .

For the first, after the re-write I'd use the formula for an infinite geometric series.

For the second (after the re-write) and third, I'd first get the standard expansions for and and then make the appropriate substitutions ......