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whats the limit of the following function? could somebody help me pleasE?

Mathematics
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\[\frac{ \sqrt{2-t}-\sqrt{2} }{ t }\]
t-->0
first you want to multiply the top and bottom by the reciprocal of the top

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Other answers:

\[\sqrt{2-t}+\sqrt{2}\]
multiply top and bottom by that, and what do you get?
yeep, but then i'll get this: \[\frac{ 2-t-2 }{ t(\sqrt{2-t})+\sqrt{2}}\]
right.
now simplify the top
ill get:\[\frac{ -t }{ t(\sqrt{2-t} +\sqrt{2}) }\]
also, the denominator should be \[t(\sqrt{2-t}+\sqrt{2})\]
correct. now can you do anything with the top and bottom t's?
is it right to cancel a negative t with a positive t ?
well, you just cancel the t's, the negative would stay.
so you would get \[\frac{ -1 }{ \sqrt{2-t}+\sqrt{2} }\]
now you can take the limit directly by plugging in 0.
:O so the limit is: -0.353509207 ?
well, I suppose if you want to do it that way, I would just say \[\frac{ -1 }{ 2\sqrt{2} }\]
oh God youre a genius! thank you so much!!!
:) no worries.

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