This is what I did:Quote:

Find the value of .

Hence:

Hence

However, when I put x=0.0000000001 into my calculator (as a check) I end up with 1.

What's going wrong??? :S

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- March 1st 2009, 11:56 AMShowcase_22Limit.Quote:

Find the value of .

Hence:

Hence

However, when I put x=0.0000000001 into my calculator (as a check) I end up with 1.

What's going wrong??? :S - March 1st 2009, 12:06 PMredsoxfan325
According to Maple 12, is correct. Also, just looking at the graph of the function, it appears that is continuous at . I think your mistake occurred when you plugged in 0.0000000001.

- March 1st 2009, 12:08 PMShowcase_22
Oh right.

It's a rather strange function since putting 0.01 into the function seems to suggest it tends to 0, but putting something much smaller in seems to suggest it tends to 1!

Well I guess there's no substitute for analytical methods!

thanks!