Attachment 26349

please help me with this one to

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- Dec 25th 2012, 11:46 AMTeloLimit Calculation
Attachment 26349

please help me with this one to - Dec 25th 2012, 12:27 PMveileenRe: Limit Calculation
If , then and . So we have an indeterminate form, , use l'Hôpital's rule.

The answer is 15. - Dec 25th 2012, 12:32 PMemakarovRe: Limit Calculation
A standard way to find limits of the form where is to multiply the numerator and the denominator by to get

where the latter expression does not have a singularity at .

For this problem, use the same idea and the fact that

(*)

Equivalently, factor out 5 and represent x - 2 in the numerator as (x - 1) - 1 and then factor it according to (*). - Dec 25th 2012, 01:12 PMTeloRe: Limit Calculation
Thank you very much now i get it :)