54/6 = 9, 18/2 = 9, and then you see the final -3. Without doing any further math, can you infer that this limit is equal to -3?

(I will upload a picture to illustrate)

Question

54/6 = 9, 18/2 = 9, and then you see the final -3. Without doing any further math, can you infer that this limit is equal to -3?

(I will upload a picture to illustrate)

johnt · Answer

attachment

anonymous · Answer

i think you wrote it incorrectly

johnt · Answer

What do you mean?

anonymous · Answer

i believe it should be 81n^2 not 81n^3

johnt · Answer

You are absolutely right. So, if it were written correctly, do I have the correct understanding?

anonymous · Answer

yes you could infer that the limit is equal to -3

because the 9s cancel out and everything else is 0

johnt · Answer

OK, cool. I just learned how to solve limits at infinity faster by only considering the highest powers of X, and now I wanted to make sure I really understood what was going on.

anonymous · Answer

lim x-> infinity for 1/x

as x approaches infinity, or a really high number

then the result would be a really really really small number, which we just assume to be 0