Determine the Values for c and N so that:Question#1.

lim

x--->infinity

$\displaystyle

\frac {10*x^5-15*x^3+2}{c*x^n-6*x^2+18}

$

And the above equation equals ( I suck at this latex stuff)

$\displaystyle

\frac {10}{7}

$

Which equals:1.42857142857143

Solve for C and N

Question#2.

Let f(x)=9*x^8-12*x^3+3 and g(x)=c·x^n-6*x^2+18 with c cant be 0. Then :

Lim

x---->infinity

$\displaystyle

\frac {fx}{gx}

$

Equals to 0

This Implies that N is either less than, equal to, or more than ______?

I know my latex is pretty bad so if anything looks confusing, let me know and I'll try to fix it.

I think I know the first one. I believe the value for C must be 7 and N must be 4 since there is a horizontal assymtote. Correct? On the right path?

I am lost on the second one.