My Math Forum functions of several variables

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 December 21st, 2018, 02:56 AM #1 Newbie   Joined: Dec 2018 From: egypt Posts: 3 Thanks: 0 functions of several variables How do I find the range for ln(9 - x^2 - y^2 - z^2)? Thanks. Last edited by skipjack; December 21st, 2018 at 03:43 AM.
 December 21st, 2018, 03:44 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,931 Thanks: 2205 Can you make a guess as to what the range is?
 December 21st, 2018, 03:50 AM #3 Newbie   Joined: Dec 2018 From: egypt Posts: 3 Thanks: 0 i do know what the range so it wouldn't be a guess =) but i don't understand how we got it.
 December 21st, 2018, 04:05 AM #4 Senior Member   Joined: Dec 2015 From: somewhere Posts: 600 Thanks: 87 Let $\displaystyle x^2+y^2+z^2=t^2$ $\displaystyle f(t)=\ln(9-t^2 )$ , by domain $\displaystyle |t|<3$ \$\displaystyle \lim_{t\rightarrow 3} f(t)

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