Finding the Limit: An Introduction to Calculus

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this may seem like a stupid questions but I'm trying to teach myself basic calculus so I have to start from the very beginning. the question I have is as follows; lim= x -> infinity for 4x^6-6x^5+3x^4 / 7x^5-6x^4+2x^3. (^ mean 'power of') So I read that "because the numerator's degree '6' > the denominators degree '5', the limit diverges". What does that mean, and how does it help me find the limit?
thanks in advance for any help you can give :)
 
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Hi Gregory.gags! :smile:

(try using the X2 button just above the Reply box :wink:)
Gregory.gags said:
this may seem like a stupid questions but I'm trying to teach myself basic calculus so I have to start from the very beginning. the question I have is as follows; lim= x -> infinity for 4x^6-6x^5+3x^4 / 7x^5-6x^4+2x^3. (^ mean 'power of') So I read that "because the numerator's degree '6' > the denominators degree '5', the limit diverges". What does that mean, and how does it help me find the limit?
thanks in advance for any help you can give :)

Rewrite it as x6(4 - 6x-1 + 3x-2)/x5(7 - 6x-1 + 1x-2) :wink:
 

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