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Mathematics 10 Online
OpenStudy (dls):

Limits anyone? D:

OpenStudy (anonymous):

I have NONE !

OpenStudy (anonymous):

Are u the one that I will agree to take upon myself them ?!

OpenStudy (dls):

\[\lim_{x \rightarrow } \frac{4^{x+1}-6^x}{5^x-8^x}\]

OpenStudy (dls):

@hartnn

OpenStudy (dls):

x tending to infinity

hartnn (hartnn):

x-> infinity or 0 ??

OpenStudy (dls):

infinity

hartnn (hartnn):

lim x-> 0 (a^x-1)/x = ln a how to use it here

OpenStudy (dls):

:/idk

OpenStudy (anonymous):

infinity / neg. infinity? (indeterminate form)

OpenStudy (anonymous):

DIVIDE ALL TERMS BY \[8^x\] this changes nothing but shows immediately that the expression's limit is 0 (zero)

OpenStudy (anonymous):

As is well known\[ \lim_{x \to \infty} a^x =0 \,\,\,if\,\,\,\,|a|<1\]

OpenStudy (anonymous):

@DLS won't mind a medal for that either...

OpenStudy (dls):

what's ur ans?

OpenStudy (dls):

i didnt get it

OpenStudy (anonymous):

\[ \frac{0}{1} = 0\]

OpenStudy (dls):

im getting 2/-1

OpenStudy (anonymous):

Really - divide all the terms by 8^x - you get expression tending to 0 except a single expression in the denominator which is identically 1.

OpenStudy (dls):

\[\frac{4^x.4-6^x}{5^x-8^x}\]

OpenStudy (anonymous):

mdl or not I solved you the question, and you have to follow and analyze the provided solution. Medal is optional , but so is further help...

OpenStudy (dls):

Dividing by 8^x \[\frac{2-6^x}{5x/8x-1}\]

OpenStudy (anonymous):

\[ \frac{4^x}{8^x}=(\frac{1}{2})^x \rightarrow 0\]

OpenStudy (dls):

why not 1/2?

OpenStudy (anonymous):

Do ypur algebra CORRECTLY. REPEAT - CORRECTLY !!!

OpenStudy (dls):

OHYEAH O.o

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