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Mathematics 10 Online
OpenStudy (anonymous):

LIMITS

OpenStudy (anonymous):

\[\lim_{x \rightarrow 0} (3^{x} -4^{x})/\sqrt{x}\]

OpenStudy (zarkon):

L'Hospitals rule

OpenStudy (anonymous):

its not working please see!!

OpenStudy (zarkon):

why is it not working?

OpenStudy (anonymous):

check my work??? \[\lim_{x \rightarrow 0} (x \log3 - xlog2)/(0.5\sqrt{x}) \] now if we again apply it will be 0/0 form

OpenStudy (zarkon):

the derivative of \(\sqrt{x}\) is \(\displaystyle\frac{1}{2\sqrt{x}}\)

OpenStudy (anonymous):

thats what i meant...

OpenStudy (anonymous):

yess now what to do???

OpenStudy (zarkon):

dividing by a fraction...invert and multiply

OpenStudy (zarkon):

wow...more than one error here..

OpenStudy (zarkon):

\[\frac{d}{dx}a^x=a^x\ln(a)\]

OpenStudy (anonymous):

ohhh yah now get it thanks!!1

OpenStudy (zarkon):

\[\lim_{x \rightarrow 0} (3^x \log(3) - 4^x\log(4))2\sqrt{x}\]

OpenStudy (zarkon):

=0

OpenStudy (anonymous):

thanks!!!

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