Finding the Limit: An Introduction to Calculus

[Gregory.gags]

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 :)

 

[tiny-tim]

Hi Gregory.gags!

(try using the X² button just above the Reply box )

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)