(adsbygoogle = window.adsbygoogle || []).push({}); Solving infinite limit at infinity[solved]

Really need help here. I somehow missed a fundamental principle and I have an Analysis exam tomorrow

I need to use this definition for [tex]lim_{n\rightarrow\infty}a_{n}=-\infty[/tex]:

For all A<0 there exists [tex]K_{A}>0[/tex],

[tex]x>K_{A}[/tex]

such that f(x)<A. I perfectly understand this.

Now i need to use it to show:

[tex]lim_{n\rightarrow\infty}(3n-2n^{2})=-\infty[/tex]

I can do it for a specific case using the definition, like for n>=2 its clear that f(x) will be less than 0, using the definition. But I am not sure that this is a general proof. I.e. that doesn't show that f(x) will tend to infinity.

[ok I solved it and dont know how to delete the post so ya. shud have checked out "related threads" before posting sorry]

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# Solving infinite limit at infinity

Can you offer guidance or do you also need help?

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