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Mathematics 14 Online
OpenStudy (anonymous):

I need help with limits

OpenStudy (anonymous):

\[\lim_{x \rightarrow 0} (1-\cos^2x)/(3sinx)\]

OpenStudy (turingtest):

use the identity\[\sin^2x+\cos^2x=1\]to simplify the expression

OpenStudy (anonymous):

trig really throws me off my game

OpenStudy (anonymous):

so the entire numerator is = sin^2x

OpenStudy (turingtest):

yup

OpenStudy (anonymous):

ok so then does my sinx on top and sinx on bottom cancel out?

OpenStudy (turingtest):

one of 'em does it's sin^2 on top....

OpenStudy (anonymous):

ok i see so then its sinx over 3 ok

OpenStudy (anonymous):

but even then when i plug zero into sin(0) then that leaves me with 0/3

OpenStudy (turingtest):

great, so what's wrong with that?

OpenStudy (anonymous):

haha zero didnt sound like the right answer but it was thanks alot

OpenStudy (turingtest):

welcome :)

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