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Question

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chris215 · Answer

can someone explain this to me idk how to do this

solomonzelman · Answer

$\large\color{black}{ \displaystyle \lim_{ x\to\infty  }\left[\frac{p(x)}{a^x}\right]  }$

where p(x) is a polynomial of some (any) Nth degree
and |a|>1

By L'Hospital's rule, N number of times, this limit is 0.

solomonzelman · Answer

That is not a theorem, or not that I have ever read. Just common sense.

solomonzelman · Answer

If you have learned L'Hospital's rule, then differentiating the equation on top and bottom, you will get the answer.

anonymous · Answer

this sucker has no limit

princeevee · Answer

satelite can you help me after this?

anonymous · Answer

the $10^x$ is larger than $e^x$ but the $(-e)^x$ makes it go from negative to positive to negative etc

solomonzelman · Answer

Oh, caret was a small enough character for me .... thanks for correcting sate.

anonymous · Answer

oh  right , not $10x$ but $10^x$ 
sucker goes up and down fast and furious

solomonzelman · Answer

Saw in the denominator, but not in the numerator?
Does that have any medical reasons (just kidding watching Dr. House movie)

anonymous · Answer

yeah too much screen time!

anonymous · Answer

@chris215  is there another part to this question? seems kind of odd

solomonzelman · Answer

Also, in a typical for the plot of that movie

solomonzelman · Answer

anyway, ....

chris215 · Answer

no that's the whole question but thanks

anonymous · Answer

yw